Results 51 to 60 of about 264 (118)

New Variant of Hermite–Jensen–Mercer Inequalities via Riemann–Liouville Fractional Integral Operators

open access: yesJournal of Mathematics, 2020
In this paper, certain Hermite–Hadamard–Mercer-type inequalities are proved via Riemann–-Liouville fractional integral operators. We established several new variants of Hermite–Hadamard’s inequalities for Riemann–Liouville fractional integral operators ...
Qiong Kang   +5 more
doaj   +1 more source

New Ostrowski-Type Fractional Integral Inequalities via Generalized Exponential-Type Convex Functions and Applications [PDF]

open access: yes, 2021
Recently, fractional calculus has been the center of attraction for researchers in mathematical sciences because of its basic definitions, properties and applications in tackling real-life problems.
Ahmad, Hijaz   +5 more
core   +1 more source

Exponential convexity for Jensen’s inequality for norms [PDF]

open access: yes, 2016
In this paper, we investigate n-exponential convexity and log-convexity using the positive functional defined as the difference of the left-hand side and right-hand side of the inequality from (Pečarić and Janić in Facta Univ., Ser. Math. Inform. 3:39-42,
Josip Pečarić   +2 more
core   +2 more sources

Fractional Hermite–Jensen–Mercer Integral Inequalities with respect to Another Function and Application

open access: yesComplexity, Volume 2021, Issue 1, 2021., 2021
In this paper, authors prove new variants of Hermite–Jensen–Mercer type inequalities using ψ–Riemann–Liouville fractional integrals with respect to another function via convexity. We establish generalized identities involving ψ–Riemann–Liouville fractional integral pertaining first and twice differentiable convex function λ, and these will be used to ...
Saad Ihsan Butt   +5 more
wiley   +1 more source

A note on some Ostrowski type inequalities via Generalized Exponentially Convexity [PDF]

open access: yes, 2021
In this paper, we define and investigate generalized exponential type convex functions namely exponentially $s$--convex function. In the support of this newly introduced idea, we attain the algebraic properties of this function, and furthermore, in the ...
Jamshed Nasir, Jamshed Nasir   +3 more
core   +2 more sources

Symmetry in the Mathematical Inequalities [PDF]

open access: yes, 2022
This Special Issue brings together original research papers, in all areas of mathematics, that are concerned with inequalities or the role of inequalities.

core   +1 more source

Fractional version of the Jensen-Mercer and Hermite-Jensen-Mercer type inequalities for strongly h-convex function

open access: yesAIMS Mathematics, 2022
In this paper we find further versions of generalized Hadamard type fractional integral inequality for k-fractional integrals. For this purpose we utilize the definition of h-convex function. The presented results hold simultaneously for variant types of
Fangfang Ma
doaj   +1 more source

Recent Advances in Fractional Calculus [PDF]

open access: yes
This Special Issue of the scientific journal Axioms, entitled “Recent Advances in Fractional Calculus”, is dedicated to one of the most dynamic areas of mathematical sciences today [...
Kórus Péter   +1 more
core   +4 more sources

Jensen, Ostrowski and Hermite-Hadamard type inequalities for h-convex stochastic processes by means of center-radius order relation [PDF]

open access: yes, 2023
Please read abstract in the article.Prince Sattam bin Abdulaziz University.http://www.aimspress.com/journal/MathMathematics and Applied ...
Abbas, Mujahid   +3 more
core   +1 more source

Hermite–Hadamard-type Inequalities via Caputo–Fabrizio fractional integral for h-Godunova–Levin and (h1, h2)-convex functions [PDF]

open access: yes, 2023
This note generalizes several existing results related to Hermite–Hadamard inequality using h-Godunova–Levin and (h1, h2)-convex functions using a fractional integral operator associated with the Caputo–Fabrizio fractional derivative. This study uses a
Abbas, Mujahid   +4 more
core   +1 more source

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