Results 71 to 80 of about 231 (171)

Hermite-Hadamard-Fejér type inequalities for convex functions via fractional integrals [PDF]

open access: yes, 2015
In this paper, firstly we have established Hermite-Hadamard-Fejér inequality for fractional integrals. Secondly, an integral identity and some Hermite-Hadamard-Fejér type integral inequalities for the fractional integrals have been obtained.
İȘCAN, İmdat
core  

A study on Hermite-Hadamard type inequalities for s-convex functions via conformable fractional integrals [PDF]

open access: yes, 2017
In the present note, firstly we established a generalization of Hermite Hadamard’s inequality for s-convex functions via conformable fractional integrals which generalized Riemann-Liouville fractional integrals. Secondly, we proved new identity involving
SET, Erhan, GÖZPINAR, Abdurrahman
core   +1 more source

Some New Integral Inequalities via Strong Convexity

open access: yesJournal of Applied Mathematics, Volume 2025, Issue 1, 2025.
We prove some new refined inequalities by using strong convexity. Some refinements of the Chebyšhev’s inequality are considered.
Markos Fisseha Yimer, Zhihua Zhang
wiley   +1 more source

Trudinger–Moser type inequalities with logarithmic weights in fractional dimensions

open access: yesAdvanced Nonlinear Studies
The purpose of this paper is two-fold. First, we derive sharp Trudinger–Moser inequalities with logarithmic weights in fractional dimensions:  sup∫01w(r)u′(r)β+2dλα1/(β+2)≤1∫01eμα,θ,γuβ+2β+11−γdλθ 1 and γ = 1 are also be considered in this part to ...
Xue Jianwei, Zhang Caifeng, Zhu Maochun
doaj   +1 more source

Estimations of the Disparity Between Hydrogen Ion Concentration and pH in the Context of Caputo–Fabrizio Fractional Integrals via Convexity

open access: yesJournal of Function Spaces, Volume 2025, Issue 1, 2025.
Fractional calculus is unique due to the fact it is as old as regular (integer) calculus, but it has also expanded its applications in a variety of fields and on a diversity of topics over the course of the last century. This leads to a continuous increase in the number of researchers and papers, ranging from integral inequality to biological models ...
Maria Tariq   +5 more
wiley   +1 more source

Some Novel Inequalities for Godunova–Levin Preinvex Functions via Interval Set Inclusion (⊆) Relation

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
In this note, we introduce the concept of ℏ‐Godunova–Levin interval‐valued preinvex functions. As a result of these novel notions, we have developed several variants of Hermite–Hadamard and Fejér‐type inequalities under inclusion order relations. Furthermore, we demonstrate through suitable substitutions that this type of convexity unifies a variety of
Zareen A. Khan   +4 more
wiley   +1 more source

Stability of the second order partial differential equations [PDF]

open access: yes, 2011
We say that a functional equation (ξ) is stable if any function g satisfying the functional equation (ξ) approximately is near to a true solution of (ξ).
M Eshaghi Gordji   +3 more
core   +2 more sources

Hermite-Hadamard type fractional integral inequalities for MT(m,ϕ)-preinvex functions [PDF]

open access: yes, 2017
In the present paper, a new class of MT(m,ϕ)-preinvex functions is in- troduced and some new integral inequalities for the left-hand side of Gauss-Jacobi type quadrature formula involving MT(m,ϕ)-preinvex functions are given.
LIKO, Rozana, KASHURI, Artion
core   +1 more source

study on a new fractional integral inequality in quantum calculus

open access: yes, 2013
In this paper, we present a new fractional integral inequality in quantum calculus.
Banyat Sroysang
core  

Strongly MφMψ -Convex Functions, The Hermite–Hadamard–Fejér Inequality and Related Results

open access: yesAnnales Mathematicae Silesianae
We present Hermite–Hadamard–Fejér type inequalities for strongly MφMψ -convex functions. Some refinements of them and bounds for the integral mean of the product of two functions are also obtained.
Bombardelli Mea, Varošanec Sanja
doaj   +1 more source

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