Results 1 to 10 of about 537,045 (330)
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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AIMS Mathematics, 2020 In this study, we introduce a new general identity for n th order differentiable functions. Also, we establish some new inequalities regarding general perturbed trapezoid inequality for the functions whose the absolute values of n th derivatives are ...
Zitong He +4 more
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Generalized integral inequalities for ABK-fractional integral operators
AIMS Mathematics, 2021 In this paper, we employ new version of the Atangana-Baleanu integral operator namely ABK-fractional integrals to obtain two general integral identities complying second-order derivatives for a given function.
Saad Ihsan Butt +4 more
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On an integral and consequent fractional integral operators via generalized convexity
AIMS Mathematics, 2020 Fractional calculus operators are very useful in basic sciences and engineering. In this paper we study an integral operator which is directly related with many known fractional integral operators. A new generalized convexity namely exponentially (α, h−m)
Wenfeng He +4 more
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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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