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  1. Recently, frame multipliers, pair frames, and controlled frames have been investigated to improve the numerical efficiency of iterative algorithms for inverting the frame operator and other applications of fra...

    Authors: Maryam Firouzi Parizi, Azadeh Alijani and Mohammad Ali Dehghan
    Citation: Journal of Inequalities and Applications 2022 2022:104
  2. This paper aims to establish new upper bounds for the first positive eigenvalue of the Φ-Laplacian operator on Riemannian manifolds in terms of mean curvature and constant sectional curvature. The first eigenv...

    Authors: Yanlin Li, Fatemah Mofarreh, Ravi P. Agrawal and Akram Ali
    Citation: Journal of Inequalities and Applications 2022 2022:102
  3. In a real normed linear space, when the quasirelative interior is not empty, a class of order relation is introduced with Minkowski difference. Two classes of nonlinear functions are introduced, and their prop...

    Authors: Pengxu Zhao, Yihong Xu and Bin Huang
    Citation: Journal of Inequalities and Applications 2022 2022:101
  4. In the present paper, we construct a new class of operators based on new type Bézier bases with a shape parameter λ and positive parameter s. Our operators include some well-known operators, such as classical Ber...

    Authors: Halil Gezer, Hüseyin Aktuğlu, Erdem Baytunç and Mehmet Salih Atamert
    Citation: Journal of Inequalities and Applications 2022 2022:96
  5. We study sequential fractional pantograph q-differential equations. We establish the uniqueness of solutions via Banach’s contraction mapping principle. Further, we define and study the Ulam–Hyers stability and U...

    Authors: Mohamed Houas, Francisco Martínez, Mohammad Esmael Samei and Mohammed K. A. Kaabar
    Citation: Journal of Inequalities and Applications 2022 2022:93
  6. In this paper, we define new higher order Kantorovich-type Szász–Mirakjan operators, we give some approximation properties of these operators in terms of various moduli of continuity. We prove a local approxim...

    Authors: Pembe Sabancigil, Mustafa Kara and Nazim I. Mahmudov
    Citation: Journal of Inequalities and Applications 2022 2022:91
  7. In this article, we introduce a new type of non-expansive mapping, namely weakly K-nonexpansive mapping, which is weaker than non-expansiveness and stronger than quasi-nonexpansiveness. We prove some weak and str...

    Authors: Sayantan Panja, Kushal Roy, Marija V. Paunović, Mantu Saha and Vahid Parvaneh
    Citation: Journal of Inequalities and Applications 2022 2022:90
  8. In this paper, we find the optimal transmission of messages in computer networks. This problem has been formulated as a nondelayed optimal control problem in several recent papers on TCP (transmission control ...

    Authors: Kar-hung Wong, Yu-chung Eugene Lee and Heung-wing Joseph Lee
    Citation: Journal of Inequalities and Applications 2022 2022:89
  9. We study a nonlinear second-order difference equation which considerably extends some equations in the literature. Our main result shows that the difference equation is solvable in closed form. Some applicatio...

    Authors: Stevo Stević, Bratislav Iričanin, Witold Kosmala and Zdeněk Šmarda
    Citation: Journal of Inequalities and Applications 2022 2022:88
  10. In our previous work, we have extended the hypercircle inequality (HI) to situations where the data error is known. Furthermore, the most recent result is applied to the problem of learning a function value in...

    Authors: Kannika Khompungson and Kamonrat Nammanee
    Citation: Journal of Inequalities and Applications 2022 2022:87
  11. Some new refined versions of the Jensen, Minkowski, and Hardy inequalities are stated and proved. In particular, these results both generalize and unify several results of this type. Some results are also new ...

    Authors: Ludmila Nikolova, Lars-Erik Persson, Sanja Varošanec and Markos Fisseha Yimer
    Citation: Journal of Inequalities and Applications 2022 2022:86
  12. In this paper, we have established some fixed point theorems in the context of strong b-metric spaces. For this purpose, Ciric type contraction for single-valued mapping and Nadler’s type Banach and Chatterjea...

    Authors: Asifa Tassaddiq, Shazia Kanwal, Saba Perveen and Rekha Srivastava
    Citation: Journal of Inequalities and Applications 2022 2022:85
  13. Results reported in this paper establish the existence of solutions for a class of generalized fractional inclusions based on the Caputo–Hadamard jerk system. Under some inequalities between multi-functions an...

    Authors: Sina Etemad, Iram Iqbal, Mohammad Esmael Samei, Shahram Rezapour, Jehad Alzabut, Weerawat Sudsutad and Izzet Goksel
    Citation: Journal of Inequalities and Applications 2022 2022:84
  14. In this paper, we study a new class of non-hybrid single-valued fractional boundary value problems equipped with integro-non-hybrid-multiterm-multipoint-multistrip conditions and a fully hybrid integro-multi-v...

    Authors: Shahram Rezapour, Bashir Ahmad, Abdellatif Boutiara, Kamsing Nonlaopon and Sina Etemad
    Citation: Journal of Inequalities and Applications 2022 2022:82
  15. In a real Hilbert space, let the VIP, GSVI, HVI, and CFPP denote a variational inequality problem, a general system of variational inequalities, a hierarchical variational inequality, and a common fixed-point ...

    Authors: Lu-Chuan Ceng, Jen-Chih Yao and Yekini Shehu
    Citation: Journal of Inequalities and Applications 2022 2022:78
  16. In the commenced work, we establish some best proximity point results for multivalued generalized contractions on partially ordered complete metric spaces along with the tactic of altering distance function. F...

    Authors: Satyendra Kumar Jain, Gopal Meena, Deepak Singh and Jitendra Kumar Maitra
    Citation: Journal of Inequalities and Applications 2022 2022:73
  17. This paper uses a novel numerical approach to approximate the coupled Cahn–Hilliard equations, which are a highly nonlinear system depicting the phase separation of the homopolymer and copolymer mixtures. The ...

    Authors: Lingfei Li, Yongsheng Yan, Fan Yang and Xiaoqiang Ma
    Citation: Journal of Inequalities and Applications 2022 2022:71
  18. In this paper, we introduce an inertial Halpern-type iterative algorithm for approximating a zero of the sum of two monotone operators in the setting of real Banach spaces that are 2-uniformly convex and unifo...

    Authors: Abubakar Adamu, Duangkamon Kitkuan, Poom Kumam, Anantachai Padcharoen and Thidaporn Seangwattana
    Citation: Journal of Inequalities and Applications 2022 2022:70
  19. In this paper, we define a new concept of left and right coordinate affine of a directed graph and then employ it to introduce a new accelerated common fixed point algorithm for a countable family of G-nonexpansi...

    Authors: Rattanakorn Wattanataweekul and Kobkoon Janngam
    Citation: Journal of Inequalities and Applications 2022 2022:68
  20. In this paper, we compute a common solution of the fixed point problem (FPP) and the generalized split common null point problem (GSCNPP) via the inertial hybrid shrinking approximants in Hilbert spaces. We sh...

    Authors: Yasir Arfat, Olaniyi S. Iyiola, Muhammad Aqeel Ahmad Khan, Poom Kumam, Wiyada Kumam and Kanokwan Sitthithakerngkiet
    Citation: Journal of Inequalities and Applications 2022 2022:67
  21. In this study, we investigate some inequalities estimating the error of approximation for new defined tensor product kind quantum beta-type operators on rectangular regions, and we give an inequality in weight...

    Authors: Esma Yıldız Özkan
    Citation: Journal of Inequalities and Applications 2022 2022:66
  22. In this paper we prove new continuous refinements of some Jensen type inequalities in both direct and reversed forms. As applications we also derive some continuous refinements of Hermite–Hadamard, Hölder, and...

    Authors: Ludmila Nikolova, Lars-Erik Persson and Sanja Varošanec
    Citation: Journal of Inequalities and Applications 2022 2022:63
  23. A remarkable result on summability states that the statistical convergence and the strong Cesàro convergence are closely connected. Given a modulus function f, we will establish that a double sequence that is f-s...

    Authors: Fernando León-Saavedra, María del Carmen Listán-García and María del Pilar Romero de la Rosa
    Citation: Journal of Inequalities and Applications 2022 2022:62
  24. In this paper, we introduce a new generalized p-dimensional multifarious radical reciprocal functional equation combining three classical means: arithmetic, geometric, and harmonic. Mainly, we find its general so...

    Authors: Divyakumari Pachaiyappan, Ramdoss Murali, Choonkil Park and Jung Rye Lee
    Citation: Journal of Inequalities and Applications 2022 2022:60
  25. In this paper, we present new iterative techniques for approximating the solution of an equilibrium problem involving a pseudomonotone and a Lipschitz-type bifunction in Hilbert spaces. These techniques consis...

    Authors: Habib ur Rehman, Poom Kumam, Ioannis K. Argyros, Wiyada Kumam and Meshal Shutaywi
    Citation: Journal of Inequalities and Applications 2022 2022:58
  26. A thermostat model described by a second-order fractional difference equation is proposed in this paper with one sensor and two sensors fractional boundary conditions depending on positive parameters by using ...

    Authors: Jehad Alzabut, A. George Maria Selvam, Raghupathi Dhineshbabu, Swati Tyagi, Mehran Ghaderi and Shahram Rezapour
    Citation: Journal of Inequalities and Applications 2022 2022:56

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