Articles

Generalized k-fractional integral inequalities associated with \((\alpha ,m)\)-convex functions

This research investigates bounds of the sum of left-sided and right-sided fractional integrals in a compact form. These bounds are established by using

Authors: S. M. Kang, G. Farid, M. Waseem, S. Ullah, W. Nazeer and S. Mehmood

Approximate coincidence point and common fixed point results for a hybrid pair of mappings with constraints in partially ordered Menger PM-spaces

We study an approximate coincidence point and a common fixed point problem for a hybrid pair of mappings with constraints in Menger PM-spaces, and obtain some new results. We derive interesting consequences of...

Authors: Zhaoqi Wu, Mengdi Liu, Chuanxi Zhu and Chunfang Chen

A new viscosity-type iteration for a finite family of split variational inclusion and fixed point problems between Hilbert and Banach spaces

In this paper, we introduce a new viscosity-type iteration process for approximating a common solution of a finite family of split variational inclusion problem and fixed point problem. We prove that the propo...

Authors: C. Izuchukwu, F. O. Isiogugu and C. C. Okeke

Solvability of integral boundary value problems at resonance in \(R^{n}\)

Authors: Shiying Song, Shuman Meng and Yujun Cui

Weighted norm inequality for bilinear Calderón–Zygmund operators on Herz–Morrey spaces with variable exponents

In this paper, we obtain a weighted norm inequality of bilinear Calderón–Zygmund operators in Herz–Morrey spaces with variable exponents and weight in the variable Muckenhoupt class.

Authors: Shengrong Wang and Jingshi Xu

Generalized Ekeland’s variational principle with applications

By using the concept of Γ-distance, we prove EVP (Ekeland’s variational principle) on quasi-F-metric (q-F-m) spaces. We apply EVP to get the existence of the solution to EP (equilibrium problem) in complete q-F-m...

Authors: Eshagh Hashemi, Reza Saadati and Choonkil Park

Sensitivity analysis for a new class of generalized parametric nonlinear ordered variational inequality problems in ordered Banach spaces

In this study, we introduce a class of new generalized parametric nonlinear ordered variational inequality problems and discuss its existence result. Also, we prove the sensitivity of the solution for the para...

Authors: Kottakkaran Sooppy Nisar, Mohd. Sarfaraz, Ahmed Morsy and Md. Kalimuddin Ahmad

An alternating iteration algorithm for solving the split equality fixed point problem with L-Lipschitz and quasi-pseudo-contractive mappings

In this paper, we are concerned with the split equality common fixed point problem. It is a significant generalization of the split feasibility problem, which can be used in various disciplines, such as medici...

Authors: Meixia Li, Xueling Zhou and Haitao Che

A conjugate gradient algorithm and its application in large-scale optimization problems and image restoration

To solve large-scale unconstrained optimization problems, a modified PRP conjugate gradient algorithm is proposed and is found to be interesting because it combines the steepest descent algorithm with the conj...

Authors: Gonglin Yuan, Tingting Li and Wujie Hu

Relations of a planar domains bounded by hyperbolas with families of holomorphic functions

Authors: S. Kanas, V. S. Masih and A. Ebadian

Chebyshev type inequalities via generalized fractional conformable integrals

Our aim in this present paper is to establish several Chebyshev type inequalities involving generalized fractional conformable integral operator recently introduced by T.U. Khan and M.A. Khan (J. Comput. Appl....

Authors: Kottakkaran Sooppy Nisar, Gauhar Rahman and Khaled Mehrez

Some fractional proportional integral inequalities

In the last few years, various researchers studied the so-called conformable integrals and derivatives. Based on that notion some authors used modified conformable derivatives (proportional derivatives) to gen...

Authors: Gauhar Rahman, Thabet Abdeljawad, Aftab Khan and Kottakkaran Sooppy Nisar

Generalizations and applications of Young’s integral inequality by higher order derivatives

In the paper, the authors

Authors: Jun-Qing Wang, Bai-Ni Guo and Feng Qi

Applications of differential subordinations involving a generalized fractional differintegral operator

Using the third-order differential subordination basic results, we introduce certain classes of admissible functions and investigate some applications of third-order differential subordination for p-valent functi...

Authors: Hanaa M. Zayed and Teodor Bulboacă

Approximation by a generalized class of Dunkl type Szász operators based on post quantum calculus

The main purpose of this paper is to introduce a generalized class of Dunkl type Szász operators via post quantum calculus on the interval

Authors: Abdullah Alotaibi

Several new cyclic Jensen type inequalities and their applications

We present some fundamental results and definitions regarding Jensen’s inequality with the aim of obtaining new generalizations of cyclic refinements of Jensen’s inequality from convex to higher order convex f...

Authors: Nasir Mehmood, Saad Ihsan Butt, Ðilda Pečarić and Josip Pečarić

Convergence and superconvergence of variational discretization for parabolic bilinear optimization problems

In this paper, we investigate a variational discretization approximation of parabolic bilinear optimal control problems with control constraints. For the state and co-state variables, triangular linear finite ...

Authors: Yuelong Tang and Yuchun Hua

Well-posedness for generalized \((\eta ,g,\varphi )\)-mixed vector variational-type inequality and optimization problems

Authors: Shih-sen Chang, Salahuddin, L. Wang, X. R. Wang and L. C. Zhao

Coefficient inequalities for a comprehensive class of bi-univalent functions related with bounded boundary variation

In the current work, we delineate a comprehensive class of bi-univalent functions connected with a bounded boundary variation to get the estimates of the first two Taylor–Maclaurin coefficients. In addition, c...

Authors: Huo Tang, N. Magesh, V. K. Balaji and C. Abirami

Integral inequalities via generalized quasiconvexity with applications

Two classes of functions are hereby considered; namely, η-quasiconvex, and strongly η-quasiconvex functions. For the former, we establish some novel integral inequalities of the trapezoid kind for functions with ...

Authors: Eze R. Nwaeze

On the stability of a non-Newtonian polytropic filtration equation

Authors: Huashui Zhan and Miao Ouyang

Global solutions to a two-species chemotaxis system with singular sensitivity and logistic source

Authors: Ting Huang, Lu Yang and Yongjie Han

Controllability and constrained controllability for nonlocal Hilfer fractional differential systems with Clarke’s subdifferential

Sobolev-type nonlocal fractional differential systems with Clarke’s subdifferential are studied. Sufficient conditions for controllability and constrained controllability for Sobolev-type nonlocal fractional d...

Authors: Hamdy M. Ahmed, Mahmoud M. El-Borai, A. S. Okb El Bab and M. Elsaid Ramadan

Morrey spaces related to certain nonnegative potentials and fractional integrals on the Heisenberg groups

Authors: Hua Wang

Weighted pseudo-almost periodic solutions and global exponential synchronization for delayed QVCNNs

In this paper, we study the existence of weighted pseudo-almost periodic solutions and the global exponential synchronization of delayed quaternion-valued cellular neural networks (QVCNNs). Firstly, we use the...

Authors: Yongkun Li, Gui Lü and Xiaofang Meng

Generalization of the Levinson inequality with applications to information theory

In the presented paper, Levinson’s inequality for the 3-convex function is generalized by using two Green functions. Čebyšev-, Grüss- and Ostrowski-type new bounds are found for the functionals involving data ...

Authors: Muhammad Adeel, Khuram Ali Khan, Ðilda Pečarić and Josip Pečarić

Correction to: Contractions with rational inequalities in the extended b-metric space

The authors would like to express their sincere appreciation to the Deanship of Scientific Research at King Saud University for funding this group No. RG-1437-017. The corrected funding of the original article...

Authors: Badr Alqahtani, Andreea Fulga, Erdal Karapınar and Vladimir Rakočević

Exclusion sets in Dashnic–Zusmanovich localization sets

A new eigenvalue localization set is given by excluding some proper subsets that do not contain any eigenvalues of matrices from Dashnic–Zusmanovich localization sets. As an application, a sufficient condition...

Authors: Jianxing Zhao and Lili She

Estimates of upper bound for a kth order differentiable functions involving Riemann–Liouville integrals via higher order strongly h-preinvex functions

In this paper the notion of higher order strongly h-preinvex functions is presented, which unifies several known classes of preinvexity. An identity related to the kth order differentiable functions and Riemann–L...

Authors: Shanhe Wu, Muhammad Uzair Awan, Marcela V. Mihai, Muhammad Aslam Noor and Sadia Talib

Relay fusion frames for Hilbert spaces

A new notion of frames, called the relay fusion frames, for Hilbert spaces has been introduced by the authors. It provides a mathematical framework for applications that require the transmission of signals ove...

Authors: Guoqing Hong and Pengtong Li

Generalization of the Levinson inequality with applications to information theory

In the presented paper, Levinson’s inequality for 3-convex function is generalized by using two Green’s functions. Čebyšev, Grüss, and Ostrowski-type new bounds are found for the functionals involving data poi...

Authors: Muhammad Adeel, Khuram Ali Khan, Ðilda Pečarić and Josip Pečarić

On the spectral norms of some circulant matrices with the trigonometric functions

In this paper, we use the properties of an r-circulant matrix and a geometric circulant matrix to study the spectral norms of the r-circulant matrix and the geometric circulant matrix involving trigonometric func...

Authors: Baijuan Shi

f-asymptotically lacunary ideal equivalence of double sequences

Authors: Nimet Pancaroǧlu Akın

Equivalent theorem of approximation by linear combination of weighted Baskakov–Kantorovich operators in Orlicz spaces

In this paper, we introduce the Orlicz space corresponding to the Young function and, by virtue of the equivalent theorem between the modified K-functional and modulus of smoothness, establish the direct, inverse...

Authors: Ling-Xiong Han, Bai-Ni Guo and Feng Qi

On iterative solutions of a split feasibility problem with nonexpansive mappings

We analyze iterative solutions of a split feasibility problem with common fixed point constraints of a family of nonexpansive mappings. We present solution theorems of the feasibility problem under some weak a...

Authors: M. A. Kutbi, A. Latif and X. Qin

Sharp inequalities for hyperbolic functions and circular functions

In this paper, we obtain some new sharp bounds for the exponential functions whose powers involve hyperbolic functions and circular functions, respectively.

Authors: Ling Zhu

Contractions with rational inequalities in the extended b-metric space

In this paper, we prove some fixed point theorems for contractions of rational type in the setting of the extended b-metric spaces. We present some examples to illustrate the validity of our results. Our results ...

Authors: Badr Alqahtani, Andreea Fulga, Erdal Karapınar and Vladimir Rakočević

A superlinearly convergent SSDP algorithm for nonlinear semidefinite programming

In this paper, we present a sequential semidefinite programming (SSDP) algorithm for nonlinear semidefinite programming. At each iteration, a linear semidefinite programming subproblem and a modified quadratic...

Authors: Jian Ling Li and Hui Zhang

Some completely monotonic functions involving the polygamma functions

Motivated by existing results, we present some completely monotonic functions involving the polygamma functions.

Authors: Peng Gao

Some inequalities via fractional conformable integral operators

In this paper, we adopt conformable fractional integral to develop integral inequalities such as Minkowski and Hermite–Hadamard inequalities. Our results are the generalization of the inequalities obtained by ...

Authors: Kottakkaran Sooppy Nisar, Asifa Tassaddiq, Gauhar Rahman and Aftab Khan

Detection of multiple change points for linear processes under negatively super-additive dependence

This paper focuses on the issue of detecting the multiple change points for linear processes under negatively super-additive dependence (NSD). We propose a CUSUM-type method in the multiple variance change mod...

Authors: Yuncai Yu, Xinsheng Liu, Ling Liu and Piao Zhao

Multivariate Bernstein inequalities for entire functions of exponential type in \(L^{p}(\mathbb{R}^{n})\) \((0< p< 1)\)

In (Rahman and Schmeisser in Trans. Amer. Math. Soc. 320: 91–103, 1990), the authors prove that the classical Bernstein inequality also holds for

Authors: Ha Huy Bang, Vu Nhat Huy and Kyung Soo Rim

Some results on integral inequalities via Riemann–Liouville fractional integrals

Authors: Xiaoling Li, Shahid Qaisar, Jamshed Nasir, Saad Ihsan Butt, Farooq Ahmad, Mehwish Bari and Shan E Farooq

On commutators of certain fractional type integrals with Lipschitz functions

In this paper, we study the commutators generated by Lipschitz functions and fractional type integral operators with kernels of the form

Authors: Wenting Hu, Yongming Wen and Huoxiong Wu

The continuity and estimates of a solution to mixed fractional constant elasticity of variance system with stochastic volatility and the pricing of vulnerable options

Stochastic volatility models play an important role in finance modeling. Under a mixed fractional Brownian motion environment, we study the continuity and estimates of a solution to a kind of stochastic differ...

Authors: Yan Dong

Iterative unique positive solutions for a new class of nonlinear singular higher order fractional differential equations with mixed-type boundary value conditions

In this paper, we consider a new class of singular nonlinear higher order fractional boundary value problems supplemented with sum of Riemann–Stieltjes integral type and nonlocal infinite-point discrete type b...

Authors: Fang Wang, Lishan Liu and Yonghong Wu

Approximate solution of zero point problem involving H-accretive maps in Banach spaces and applications

In this manuscript, we introduce two iterative methods for finding the common zeros of two H-accretive mappings in uniformly smooth and uniformly convex Banach spaces. The proposed iterative methods are based on ...

Authors: Rajat Vaish, Mohd. Sarfaraz, Md. Kalimuddin Ahmad and Kaleem Raza Kazmi

Certain integrals involving multivariate Mittag-Leffler function

The objective of this article is to present several new integral equalities involving the multivariate Mittag-Leffler functions which are associated with the Laguerre polynomials. To emphasize our main results...

Authors: D. L. Suthar, Hafte Amsalu and Kahsay Godifey

Oscillatory behavior of third-order neutral delay differential equations with distributed deviating arguments

The main contribution of this paper is to establish some new criteria, which ensure that every solution of third-order neutral delay differential equations with distributed deviating arguments is either oscill...

Authors: Yibing Sun and Yige Zhao

Pointwise density estimation based on negatively associated data

Authors: Huijun Guo and Junke Kou