Results 21 to 30 of about 4,622 (261)
Subordination results for a fractional integral operator
Issues of Analysis, 2022 Summary: In this paper, we establish several differential subordinations regarding the operator \(D_z^{-\lambda }SR^{m,n}\) defined using the fractional integral of the differential operator \(SR^{m,n}\), obtained as a convolution product of Sălăgean operator \(S^m\) and Ruscheweyh derivative \(R^n\).
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Some New Fractional Integral Inequalities Pertaining to Generalized Fractional Integral Operator
Symmetry, 2022 Integral inequalities make up a comprehensive and prolific field of research within the field of mathematical interpretations. Integral inequalities in association with convexity have a strong relationship with symmetry. Different disciplines of mathematics and applied sciences have taken a new path as a result of the development of new fractional ...
Omar Mutab Alsalami +5 more
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Morrey spaces and fractional integral operators
Expositiones Mathematicae, 2009 The present paper is devoted to the boundedness of fractional integral operators in Morrey spaces defined on quasimetric measure spaces. In particular, Sobolev, trace and weighted inequalities with power weights for potential operators are established.
Eridani +2 more
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Applications of the Atangana–Baleanu Fractional Integral Operator
Symmetry, 2022 Applications of the Atangana–Baleanu fractional integral were considered in recent studies related to geometric function theory to obtain interesting differential subordinations. Additionally, the multiplier transformation was used in many studies, providing elegant results.
Alina Alb Lupas, Adriana Catas
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Certain Chebyshev-Type Inequalities Involving Fractional Conformable Integral Operators
Mathematics, 2019 Since an interesting functional by P.L. Chebyshev was presented in the year 1882, many results, which are called Chebyshev-type inequalities, have been established. Some of these inequalities were obtained by using fractional integral operators.
Gauhar Rahman +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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Estimates for p-adic fractional integral operator and its commutators on p-adic Morrey–Herz spaces
Journal of Inequalities and Applications, 2022 This research investigates the boundedness of a p-adic fractional integral operator on p-adic Morrey–Herz spaces. In particular, p-adic central bounded mean oscillations ( C M ˙ O ) $(C\dot{M}O)$ and Lipschitz estimate for commutators of the p-adic ...
Naqash Sarfraz +3 more
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Spectral approximation to fractional integral operators
Mathematics of ComputationWe propose a fast and stable method for constructing matrix approximations to fractional integral operators applied to series in Chebyshev fractional polynomials. Based on a recurrence relation satisfied by the definite integrals of mapped Chebyshev polynomials with a fractional weight, the proposed method significantly outperforms existing approaches.
Xiaolin Liu, Kuan Xu
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On the Composition Structures of Certain Fractional Integral Operators
Symmetry, 2022 This paper investigates the composition structures of certain fractional integral operators whose kernels are certain types of generalized hypergeometric functions. It is shown how composition formulas of these operators can be closely related to the various Erdélyi-type hypergeometric integrals.
Min-Jie Luo, Ravinder Krishna Raina
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