Results 1 to 10 of about 527,109 (283)
Magnetic Fourier Integral Operators [PDF]
Journal of Pseudo-Differential Operators and Applications, 2010 In some previous papers we have defined and studied a 'magnetic' pseudodifferential calculus as a gauge covariant generalization of the Weyl calculus when a magnetic field is present. In this paper we extend the standard Fourier Integral Operators Theory
D. Robert +12 more
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Rough Marcinkiewicz integral operators [PDF]
International Journal of Mathematics and Mathematical Sciences, 2001 We study the Marcinkiewicz integral operator M𝒫f(x)=(∫−∞∞|∫|y|≤2tf(x−𝒫(y))(Ω(y)/|y|n−1)dy|2dt/22t)1/2, where 𝒫 is a polynomial mapping from ℝn into ℝd and Ω is a homogeneous function of degree zero on ℝn with mean value zero over the unit sphere Sn−1. We
Hussain Al-Qassem, Ahmad Al-Salman
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Refinements of Pólya-SzegŐ and Chebyshev type inequalities via different fractional integral operators [PDF]
HeliyonVarious differential and integral operators have been introduced and applied for the generalization of several integral inequalities. The purpose of this article is to create a more generalized fractional integral operator of Saigo type.
Ayyaz Ahmad, Matloob Anwar
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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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Subordination preserving integral operators [PDF]
Transactions of the American Mathematical Society, 1983 Let β \beta and γ \gamma be complex numbers and let H H be the space of functions regular in the unit disc. Subordination of functions f f , g ∈ H g \in H is denoted by f ≺ g f \prec g . Let
Miller, Sanford S. +2 more
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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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