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In this paper, we establish some inequalities for power series with real coefficients by utilizing Young’s inequality for sequences of complex numbers. Some applications for special functions such as polylogar...
This paper is devoted to study interval-valued optimization problems. Sufficient optimality conditions are established for LU optimal solution concept under generalized
...
In this paper we define the sequence space
on a seminormed complex linear space by using an Orlicz function. We give various properties and som...
In this paper, we investigate the growth and the zeros of difference of the first and second derivative of the solutions of the second-order linear differential equations
In this paper, the inequality of boundedness for the multilinear fractional singular integral operators associated to the weighted Lipschitz functions is estimated. The operators include the Calderón-Zygmund s...
In this paper, we show that the parametric general nonconvex variational inequalities are equivalent to the parametric Wiener-Hopf equations. We use this alternative equivalent formulation to study the sensiti...
In this paper, we investigate an initial boundary value problem for a nonlocal p-Laplacian evolution equation with an inner absorption and weighted linear nonlocal boundary and initial conditions. By using the mo...
In the present paper, we generalize a theorem of Lal and Singh (Indian J. Pure Appl. Math. 33(9):1443-1449, 2002) on the degree of approximation of a function belonging to the weighted ...
The Razumikhin-type stability theorems of neutral stochastic functional differential equations (NFDEs) were investigated by several authors, but there was almost no Razumikhin-type theorems on the general asym...
In this work, some new generalized Gronwall-Bellman type nonlinear delay integral inequalities for discontinuous functions are established, which can be used as a handy tool in the quantitative and qualitative...
By the properties of a Schur-convex function, Schur-convexity of the dual form of some symmetric functions is simply proved.
In this paper, we introduce and study a new class of generalized nonlinear vector mixed quasi-variational-like inequalities governed by a multi-valued map in Hausdorff topological vector spaces which includes ...
This paper presents a prediction of a giant magneto-impedance (GMI) effect on Co-based amorphous ribbons using an artificial neural network (ANN) approach based on a self-organizing feature map (SOFM). The inp...
This paper studies the problem of guaranteed cost control for a class of switched recurrent neural networks with interval time-varying delay. The time delay is a continuous function belonging to a given interv...
We prove some Hardy-type inequalities on half-spaces for Kohn’s sub-Laplacian in the Heisenberg group. Furthermore, the constants we obtained are sharp.
By using the way of weight functions and Hadamard’s inequality, a half-discrete Hilbert-type inequality similar to Mulholland’s inequality with a best constant factor is given. The extension with multi-paramet...
In Bettaibi and Bouzeffour (J. Math. Anal. Appl. 342:1203-1219, 2008), some properties of the third Jackson q-Bessel function of order zero were established. This paper is devoted to studying the q-convolution pr...
We prove the existence of the PPF dependent common fixed point theorems and the PPF dependent coincidence points for a pair of mappings satisfying some contractive conditions in Banach spaces where the domains...
In this paper, we introduce the notion of Geraghty-contractions and consider the related best proximity point in the context of a metric space. We state an example to illustrate our result.
The general coupled matrix equations
In this paper, we estimate the asymptotic orders of probabilistic and average widths of the compact embedding operators from the Sobolev space
In this paper, we study a class of parametric generalized vector mixed quasivariational inequality problems (in short, (MQVIP)) in Hausdorff topological vector spaces. The upper semicontinuity, closedness, the...
In this paper, using the recent results on Stein’s method combining with Malliavin calculus and the almost sure central limit theorem for sequences of functionals of general Gaussian fields developed by Nourdi...
The projection algorithms for solving the constrained multiple-sets split feasibility problem are presented. The strong convergence results of the algorithms are given under some mild conditions. Especially, t...
We introduce a certain subclass of harmonic multivalent functions defined by using a Ruscheweyh derivative operator. We obtain coefficient conditions, distortion bounds, extreme points, convex combination for ...
In this paper, we relax the control condition of convergence of SP-iteration presented by Phuengrattana and Suantai (J. Comput. Appl. Math. 235:3006-3014, 2011). We compare the rate of convergence of Mann, Ish...
The Jensen divergence is used to measure the difference between two probability distributions. This divergence has been generalised to allow the comparison of more than two distributions. In this paper, we con...
We introduce k-Ricci curvature and k-scalar curvature on lightlike hypersurfaces of a Lorentzian manifold. We establish some inequalities between the extrinsic scalar curvature and the intrinsic scalar curvature....
In this paper, we investigate the fixed point problem of asymptotically quasi-ϕ-nonexpansive mappings in the intermediate sense based on a projection algorithm. Strong convergence of the proposed algorithm is obt...
The purpose of this paper is to present some new versions of Hermite-Hadamard type inequalities for operator convex functions. We give refinements of Hermite-Hadamard type inequalities for convex functions of ...
In this paper, we consider a nonparametric regression model with replicated observations based on the φ-mixing and the ρ-mixing error’s structures respectively, for exhibiting dependence among the units. The wave...
In this paper, we present a semi-local convergence analysis of Halley’s method for approximating a locally unique solution of a nonlinear equation in a Banach space setting, where we assume that the second Fré...
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