Certain Inequalities Pertaining to Some New Generalized Fractional Integral Operators
Fractal 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
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Further Generalizations of Some Fractional Integral Inequalities
Fractal 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
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A Generalized Convexity and Inequalities Involving the Unified Mittag–Leffler Function
Axioms, 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
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New Fractional Integral Inequalities via k-Atangana–Baleanu Fractional Integral Operators
Fractal 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
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Interpolation of nonlinear integral Urysohn operators in net spaces [PDF]
Қарағанды 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
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On boundedness of unified integral operators for quasiconvex functions
Advances 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
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Fractional Integral Inequalities via Atangana-Baleanu Operators for Convex and Concave Functions
Journal 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
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Derivation of bounds of several kinds of operators via (s,m) $(s,m)$-convexity
Advances in Difference Equations, 2020 The objective of this paper is to derive the bounds of fractional and conformable integral operators for (s,m) $(s,m)$-convex functions in a unified form.
Young Chel Kwun +4 more
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Approximation results for a general class of Kantorovich type operators [PDF]
, 2014 We introduce and study a family of integral operators in the Kantorovich sense for functions acting on locally compact topological groups. We obtain convergence results for the above operators with respect to the pointwise and uniform convergence and in ...
Vinti, Gianluca, Zampogni, Luca
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BCR algorithm and the $T(b)$ theorem [PDF]
, 2007 We show using the Beylkin-Coifman-Rokhlin algorithm in the Haar basis that any singular integral operator can be written as the sum of a bounded operator on $L^p ...
Auscher, Pascal, Yang, Qi Xiang
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