Results 1 to 10 of about 20,934 (266)
Certain Inequalities Pertaining to Some New Generalized Fractional Integral Operators
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]
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
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
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
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
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]
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]
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
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
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

