Results 1 to 10 of about 1,813 (135)

Complete Approximations by Multivariate Generalized Gauss-Weierstrass Singular Integrals

Moroccan Journal of Pure and Applied Analysis, 2021
This research and survey article deals exclusively with the study of the approximation of generalized multivariate Gauss-Weierstrass singular integrals to the identity-unit operator.
Anastassiou George A.
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Generalized fractional integral inequalities of Hermite-Hadamard-type for a convex function

Open Mathematics, 2020
The primary objective of this research is to establish the generalized fractional integral inequalities of Hermite-Hadamard-type for MT-convex functions and to explore some new Hermite-Hadamard-type inequalities in a form of Riemann-Liouville fractional ...
Han Jiangfeng, Mohammed Pshtiwan Othman, Zeng Huidan   +2 more
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A Stochastic Gronwall Lemma [PDF]

, 2013
We prove a stochastic Gronwall lemma of the following type: if $Z$ is an adapted nonnegative continuous process which satisfies a linear integral inequality with an added continuous local martingale $M$ and a process $H$ on the right hand side, then for ...
Scheutzow, Michael
core   +1 more source

Ohlin and Levin–Stečkin-Type Results for Strongly Convex Functions

Annales Mathematicae Silesianae, 2020
Counterparts of the Ohlin and Levin–Stečkin theorems for strongly convex functions are proved. An application of these results to obtain some known inequalities related with strongly convex functions in an alternative and unified way is presented.
Nikodem Kazimierz, Rajba Teresa
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On a more accurate half-discrete Hilbert-type inequality involving hyperbolic functions

Open Mathematics, 2022
In this work, by the introduction of a new kernel function composed of exponent functions with several parameters, and using the method of weight coefficient, Hermite-Hadamard’s inequality, and some other techniques of real analysis, a more accurate half-
You Minghui, Sun Xia, Fan Xiansheng
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New fractional integral inequalities via Euler's beta function

Open Mathematics, 2023
In this article, we present new fractional integral inequalities via Euler’s beta function in terms of ss-convex mappings. We develop some new generalizations of fractional trapezoid- and midpoint-type inequalities using the class of differentiable ss ...
Almutairi Ohud Bulayhan
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Schur-power convexity of integral mean for convex functions on the coordinates

Open Mathematics, 2023
In this article, we investigate the concepts of monotonicity, Schur-geometric convexity, Schur-harmonic convexity, and Schur-power convexity for the lower and upper limits of the integral mean, focusing on convex functions on coordinate axes. Furthermore,
Shi Huannan, Zhang Jing
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Generalized Canavati Fractional Ostrowski, Opial and Grüss type inequalities for Banach algebra valued functions

Moroccan Journal of Pure and Applied Analysis, 2022
Using generalized Canavati fractional left and right vectorial Taylor formulae we establish mixed fractional Ostrowski, Opial and Grüss type inequalities involving several Banach algebra valued functions. The estimates are with respect to all norms ‖ · ‖
Anastassiou George A.
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Refinement of the Jensen integral inequality

Open Mathematics, 2016
In this paper we give a refinement of Jensen’s integral inequality and its generalization for linear functionals. We also present some applications in Information Theory.
Sever Dragomir Silvestru, Adil Khan Muhammad, Abathun Addisalem   +2 more
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Inequalities of Hermite-Hadamard Type for HA-Convex Functions

Moroccan Journal of Pure and Applied Analysis, 2017
Some new inequalities of Hermite-Hadamard type for HA-convex functions defined on positive intervals are given.
Dragomir S. S.
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