Results 21 to 30 of about 1,483,475 (271)

Weighted Midpoint Hermite-Hadamard-Fejér Type Inequalities in Fractional Calculus for Harmonically Convex Functions

open access: yesFractal and Fractional, 2021
In this paper, we establish a new version of Hermite-Hadamard-Fejér type inequality for harmonically convex functions in the form of weighted fractional integral. Secondly, an integral identity and some weighted midpoint fractional Hermite-Hadamard-Fejér
Humaira Kalsoom   +3 more
doaj   +1 more source

Integral inequalities via Raina’s fractional integrals operator with respect to a monotone function

open access: yesAdvances in Difference Equations, 2020
We establish certain new fractional integral inequalities involving the Raina function for monotonicity of functions that are used with some traditional and forthright inequalities.
Shu-Bo Chen   +5 more
doaj   +1 more source

Local Fractional Integral Hölder-Type Inequalities and Some Related Results

open access: yesFractal and Fractional, 2022
This paper is devoted to establishing some functional generalizations of Hölder and reverse Hölder’s inequalities with local fractional integral introduced by Yang.
Guangsheng Chen   +3 more
doaj   +1 more source

Fractional integral inequalities involving Marichev–Saigo–Maeda fractional integral operator

open access: yesJournal of Inequalities and Applications, 2020
The aim of this present investigation is establishing Minkowski fractional integral inequalities and certain other fractional integral inequalities by employing the Marichev–Saigo–Maeda (MSM) fractional integral operator.
Asifa Tassaddiq   +5 more
doaj   +1 more source

Hermite–Jensen–Mercer-Type Inequalities via Caputo–Fabrizio Fractional Integral for h-Convex Function

open access: yesFractal and Fractional, 2021
Integral inequalities involving many fractional integral operators are used to solve various fractional differential equations. In the present paper, we will generalize the Hermite–Jensen–Mercer-type inequalities for an h-convex function via a Caputo ...
Miguel Vivas-Cortez   +4 more
doaj   +1 more source

On a system of integral inequalities [PDF]

open access: yesProceedings of the American Mathematical Society, 1970
The present note obtains a vector extension and a further generalization of Bihari’s Lemma on an integral inequality. The inequality proved can be used in the study of the componentwise behaviour of solutions of differential systems.
Deo, S. G., Murdeshwar, M. G.
openaire   +1 more source

E. R. LOVE TYPE LEFT FRACTIONAL INTEGRAL INEQUALITIES

open access: yesПроблемы анализа, 2020
Here first we derive a general reverse Minkowski integral inequality. Then motivated by the work of E. R. Love [4] on integral inequalities we produce general reverse and direct integral inequalities.
G. A. Anastassiou
doaj   +1 more source

Some new integral inequalities of Wendorff type for discontinuous functions with integral jump conditions

open access: yesJournal of Inequalities and Applications, 2020
In this paper, we investigate some new integral inequalities of Wendorff type for discontinuous functions with two independent variables and integral jump conditions. These integral inequalities with discontinuities are of non-Lipschitz type.
Lihong Xing, Donghua Qiu, Zhaowen Zheng
doaj   +1 more source

An Integral Inequality [PDF]

open access: yesSIAM Review, 1977
We furnish conditions on the functions p ( t ) , f
openaire   +3 more sources

An Integral Inequality [PDF]

open access: yesMathematical Inequalities & Applications, 2001
Let \((X,{\mathcal A},\mu)\) be a measure space, and let \(S:X\to {\mathcal A}\) be a function of type (C), i.e., \(S\) satisfies the following three conditions: C1) \(x\notin S(x)\) for every \(x\in X;\) C2) if \(y\in S(x),\) then \(S(y)\subset S(x);\) C3) \(\{ (x,y)\); \(y\in S(x)\} \) is \( \mu \times \mu \) measurable.
openaire   +2 more sources

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