Results 1 to 10 of about 20,934 (266)

Certain Inequalities Pertaining to Some New Generalized Fractional Integral Operators

open access: yesFractal and Fractional, 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.
Hari Mohan Srivastava   +3 more
doaj   +3 more sources

Integral Operators on Lattices [PDF]

open access: yesOrder, 2022
This paper introduces the notion of integral operators on lattices and studies their role in understanding lattices, their classification and their derived structures. As is well known, the derivation, or differential operator, and integral operator are fundamental in analysis and its broad applications.
Aiping Gan, Li Guo 0003, Shoufeng Wang
openaire   +2 more sources

Further Generalizations of Some Fractional Integral Inequalities

open access: yesFractal and Fractional, 2023
This paper aims to establish generalized fractional integral inequalities for operators containing Mittag–Leffler functions. By applying (α,h−m)−p-convexity of real valued functions, generalizations of many well-known inequalities are obtained.
Dong Chen   +3 more
doaj   +1 more source

A Generalized Convexity and Inequalities Involving the Unified Mittag–Leffler Function

open access: yesAxioms, 2023
This article aims to obtain inequalities containing the unified Mittag–Leffler function which give bounds of integral operators for a generalized convexity. These findings provide generalizations and refinements of many inequalities. By setting values of
Ghulam Farid   +4 more
doaj   +1 more source

On an integral operator [PDF]

open access: yesApplied Mathematics Letters, 2010
Abstract In this paper we define a general integral operator for analytic functions in the open unit disk and we determine some conditions for univalence of this integral operator.
Virgil Pescar, Daniel Breaz
openaire   +2 more sources

New Fractional Integral Inequalities via k-Atangana–Baleanu Fractional Integral Operators

open access: yesFractal and Fractional, 2023
We propose the definitions of some fractional integral operators called k-Atangana–Baleanu fractional integral operators. These newly proposed operators are generalizations of the well-known Atangana–Baleanu fractional integral operators.
Seth Kermausuor, Eze R. Nwaeze
doaj   +1 more source

GMRES and Integral Operators [PDF]

open access: yesSIAM Journal on Scientific Computing, 1996
The purpose of this paper is to show how the generalized minimal residual (GMRES) method can be modified to incorporate Nyström interpolation at a small cost in both computational effort and algorithmic complexity. The result is an algorithm that has the convergence property of Broyden's method.
Carl T. Kelley, Z. Q. Xue
openaire   +1 more source

Interpolation of nonlinear integral Urysohn operators in net spaces [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2022
In this paper, we study the interpolation properties of the net spaces Np,q(M), in the case when M is a sufficiently general arbitrary system of measurable subsets from Rn. The integral Urysohn operator is considered.
A.H. Kalidolday, E.D. Nursultanov
doaj   +2 more sources

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

Fractional Integral Inequalities via Atangana-Baleanu Operators for Convex and Concave Functions

open access: yesJournal of Function Spaces, 2021
Recently, many fractional integral operators were introduced by different mathematicians. One of these fractional operators, Atangana-Baleanu fractional integral operator, was defined by Atangana and Baleanu (Atangana and Baleanu, 2016).
Ahmet Ocak Akdemir   +3 more
doaj   +1 more source

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