Results 31 to 40 of about 294,693 (227)

Some modifications in conformable fractional integral inequalities [PDF]

open access: yesAdvances in Difference Equations, 2020
AbstractThe prevalence of the use of integral inequalities has dramatically influenced the evolution of mathematical analysis. The use of these useful tools leads to faster advances in the presentation of fractional calculus. This article investigates the Hermite–Hadamard integral inequalities via the notion of Ϝ-convexity. After that, we introduce the
Dumitru Băleanu   +3 more
openaire   +3 more sources

New inequalities of Opial type for conformable fractional integrals [PDF]

open access: yes, 2017
WOS: 000412021500008In this paper, some Opial-type inequalities for conformable fractional integrals are obtained using the remainder function of Taylor's theorem for conformable ...
Mehmet Zeki SARIKAYA   +3 more
core   +1 more source

Certain Simpson-type inequalities for twice-differentiable functions by conformable fractional integrals [PDF]

open access: yes, 2023
In this paper, an equality is established by twice-differentiable convex functions with respect to the conformable fractional integrals. Moreover, several Simpson-type inequalities are presented for the case of twice-differentiable convex functions via ...
Hezenci, Fatih, Budak, Hüseyin
core   +1 more source

Some fractional proportional integral inequalities

open access: yesJournal of Inequalities and Applications, 2019
In the last few years, various researchers studied the so-called conformable integrals and derivatives. Based on that notion some authors used modified conformable derivatives (proportional derivatives) to generate nonlocal fractional integrals and ...
Gauhar Rahman   +3 more
doaj   +1 more source

ON FUNCTIONAL GENERALIZATION OF OSTROWSKI INEQUALITY FOR CONFORMABLE FRACTIONAL INTEGRALS [PDF]

open access: yes, 2018
In this study, we establish a generalized Ostrowski type integral inequality for conformable fractional integrals.
Budak, HÜSEYİN   +2 more
core   +3 more sources

On the weighted fractional Pólya–Szegö and Chebyshev-types integral inequalities concerning another function

open access: yesAdvances in Difference Equations, 2020
The primary objective of this present paper is to establish certain new weighted fractional Pólya–Szegö and Chebyshev type integral inequalities by employing the generalized weighted fractional integral involving another function Ψ in the kernel.
Kottakkaran Sooppy Nisar   +4 more
doaj   +1 more source

On boundedness of unified integral operators for quasiconvex functions

open access: yesAdvances in Difference Equations, 2020
This work deals with the bounds of a unified integral operator with which several fractional and conformable integral operators are directly associated. By using quasiconvex and monotone functions we establish bounds of these integral operators. We prove
Dongming Zhao   +4 more
doaj   +1 more source

Extended Ostrowski Type Inequalities Involving Conformable Fractional Integrals

open access: yes, 2022
The purpose of this work is to establish extended Ostrowski type inequalities involving conformable fractional integrals. We first give an identity for functions whose ??fractional derivatives are bounded.
Bolu, Pınar, Erden, Samet
core   +1 more source

New generalized Pólya–Szegö and Čebyšev type inequalities with general kernel and measure

open access: yesAdvances in Difference Equations, 2020
It is always attractive and motivating to acquire the generalizations of known results. In this article, we introduce a new class C ( h ) $\mathfrak{C(h)}$ of functions which can be represented in a form of integral transforms involving general kernel ...
S. Iqbal   +5 more
doaj   +1 more source

New generalized reverse Minkowski and related integral inequalities involving generalized fractional conformable integrals

open access: yesJournal of Inequalities and Applications, 2020
This paper gives some novel generalizations by considering the generalized conformable fractional integrals operator for reverse Minkowski type and reverse Hölder type inequalities. Furthermore, novel consequences connected with this inequality, together
Saima Rashid   +4 more
doaj   +1 more source

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