Results 31 to 40 of about 104,407 (324)
On weighted inequalities for certain fractional integral operators [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 This paper considers the modified fractional integral operators involving the Gauss hypergeometric function and obtains weighted inequalities for these operators. Multidimensional fractional integral operators involving the H‐function are also introduced.
R. K. Raina
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The boundedness of fractional integral operators in local and global mixed Morrey-type spaces [PDF]
Positivity (Dordrecht), 2021 In this paper, we introduce the local and global mixed Morrey-type spaces and show some properties. Besides, we investigate the boundedness of the fractional integral operators $$I_\alpha $$ I α in these spaces.
Houkun Zhang, Jiang Zhou
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Mathematics, 2023 In the frame of fractional calculus, the term convexity is primarily utilized to address several challenges in both pure and applied research. The main focus and objective of this review paper is to present Hermite–Hadamard (H-H)-type inequalities ...
M. Tariq, S. Ntouyas, A. A. Shaikh
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Development of Fractional Newton-Type Inequalities Through Extended Integral Operators [PDF]
, 2020 This paper introduces a new class of Newton-type inequalities (NTIs) within the framework of extended fractional integral operators. This study begins by establishing a fundamental identity for generalized fractional Riemann–Liouville (FR-L ...
Hüseyin Budak +9 more
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Electronic Journal of Applied Mathematics, 2023 The main motivation of the paper is to provide new integral inequalities for different kinds of convex functions by using a fractional integral operator with a non-singular kernel.
S. Aslan, A. Akdemi̇r
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Results on Minkowski-Type Inequalities for Weighted Fractional Integral Operators
Symmetry, 2023 This article considers a general family of weighted fractional integral operators and utilizes this general operator to establish numerous reverse Minkowski inequalities. When it comes to understanding and investigating convexity and inequality, symmetry
H. M. Srivastava +4 more
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International Journal of Computational Intelligence Systems, 2022 In this article, the notion of interval-valued preinvex functions involving the Riemann–Liouville fractional integral is described. By applying this, some new refinements of the Hermite–Hadamard inequality for the fractional integral operator are ...
H. Srivastava +4 more
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Journal of Inequalities and Applications, 2020 The aim of this paper is to establish new generalized fractional versions of the Hadamard and the Fejér–Hadamard integral inequalities for harmonically convex functions.
Xiaoli Qiang +4 more
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General Fractional Vector Calculus
Mathematics, 2021 A generalization of fractional vector calculus (FVC) as a self-consistent mathematical theory is proposed to take into account a general form of non-locality in kernels of fractional vector differential and integral operators.
Vasily E. Tarasov
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AIMS Mathematics, 2021 : In this work, a new strategy to derive inequalities by employing newly proposed fractional operators, known as a Hilfer generalized proportional fractional integral operator ( ̂ GPFIO).
Shuang-Shuang Zhou +4 more
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