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Extensions of Simpson’s Inequality via Nonnegative Weight Functions and Fractional Operators [PDF]

open access: yesAdvances in Mathematical Physics
MSC2020 Classification: 26A09, 26D10, 26D15 ...
Hasan Öğünmez, Mehmet Zeki Sarikaya
doaj   +3 more sources

Some New Time Scales Weighted Ostrowski-Grüss Type Inequalities [PDF]

open access: yesCumhuriyet Science Journal, 2017
In this paper, weobtain some new weighted Ostrowski-Grüss type inequalities on time scales. Wealso give some other interesting inequalities as special cases.2010 MathematicsSubject Classifications : 26D15; 26E70.
Adnan Tuna
doaj   +2 more sources

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

open access: yesAnnales 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
doaj   +1 more source

Complete Approximations by Multivariate Generalized Gauss-Weierstrass Singular Integrals

open access: yesMoroccan 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.
doaj   +1 more source

Generalized fractional integral inequalities of Hermite-Hadamard-type for a convex function

open access: yesOpen 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   +2 more
doaj   +1 more source

Refinement of the Jensen integral inequality

open access: yesOpen 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   +2 more
doaj   +1 more source

On a more accurate half-discrete Hilbert-type inequality involving hyperbolic functions

open access: yesOpen 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
doaj   +1 more source

Fractional Hermite–Hadamard Inequalities in Non‐Newtonian Calculus Focusing on h‐GG‐Convex Functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
The aim of this paper is to develop new Hermite–Hadamard–type inequalities within the framework of fractional GG‐multiplicative calculus. By employing the GG‐multiplicative Riemann–Liouville fractional integral operators, we introduce a novel class of generalized convex functions, called h‐GG‐convex functions, which unifies and extends several existing
Bouharket Benaissa   +4 more
wiley   +1 more source

Error Bound of Hermite–Hadamard–Mercer Inequalities via ψ−Conformable Fractional Integral Operators on the Coordinates

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
This paper develops a family of Hermite–Hadamard–Mercer‐type inequalities within the framework of generalized conformable fractional calculus. By interpreting generalized conformable fractional integrals as weighted integral means depending on the order parameter, we derive refined two‐sided bounds for coordinated convex functions that incorporate ...
Jen Chieh Lo, Mohammad Rezwan Habib
wiley   +1 more source

Inequalities of Hermite-Hadamard Type for HA-Convex Functions

open access: yesMoroccan 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.
doaj   +1 more source

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