Results 11 to 20 of about 1,676,787 (274)

Inequalities for a Weighted Integral [PDF]

open access: yes, 1999
In the article, along with the procedure generalizing the mean value theorems for derivative from Rolle to Taylor, we generalize the Iyengar inequality for an integral to obtain some inequalities for weighted integrals involving bounded derivative of the
Qi, Feng
core   +6 more sources

Inequalities for a Weighted Multiple Integral [PDF]

open access: yes, 1999
In the article, using Taylor's formula for functions of several variables, the author establishes some inequalities for the weighted multiple integral of a function defined on an m-dimensional rectangle, if its partial derivatives of (n + 1)-th order ...
Qi, Feng
core   +6 more sources

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

Some Fractional Integral Inequalities by Way of Raina Fractional Integrals

open access: yesSymmetry, 2023
In this research, some novel Hermite–Hadamard–Fejér-type inequalities using Raina fractional integrals for the class of ϑ-convex functions are obtained. These inequalities are more comprehensive and inclusive than the corresponding ones present in the literature.
Miguel J. Vivas-Cortez   +2 more
openaire   +2 more sources

Certain Inequalities Pertaining to Some New Generalized Fractional Integral Operators [PDF]

open access: yes, 2021
In this paper, we introduce the generalized left-side and right-side fractional integral operators with a certain modified ML kernel. We investigate the Chebyshev inequality via this general family of fractional integral operators.
Mohammed, Pshtiwan Othman   +3 more
core   +1 more source

On the Hermite-Hadamard Inequality and Other Integral Inequalities Involving Two Functions [PDF]

open access: yes, 2009
In this note we establish some Hermite-Hadamard type inequalities involving two functions.
Özdemir, M. Emin   +2 more
core   +8 more sources

Certain New Chebyshev and Grüss-Type Inequalities for Unified Fractional Integral Operators via an Extended Generalized Mittag-Leffler Function

open access: yesFractal and Fractional, 2022
In this paper, by adopting the classical method of proofs, we establish certain new Chebyshev and Grüss-type inequalities for unified fractional integral operators via an extended generalized Mittag-Leffler function. The main results are more general and
Wengui Yang
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

Generalizations of some Integral Inequalities for Fractional Integrals [PDF]

open access: yesAnnales Mathematicae Silesianae, 2018
Abstract In this paper we give generalizations of the Hadamard-type inequalities for fractional integrals. As special cases we derive several Hadamard type inequalities.
Farid Ghulam, ur Rehman Atiq
openaire   +3 more sources

Comparisons of Two Integral Inequalities with Hermite-Hadamard-Jensen's Integral Inequality [PDF]

open access: yes, 2005
Certain comparisons of Iyengar-Mahajani’s and Kesava Menon’s integral inequalities with Hermite-Hadamard-Jensen’s integral inequalities are considered and some mistakes in the paper [On certain inequalities by Iyengar and Kesava Menon, Octogon Math ...
Qi, Feng, Yang, Meng-Long
core   +6 more sources

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