Results 21 to 30 of about 93,896 (272)
Fractional Integral and Generalized Stieltjes Transforms for Hypergeometric Functions as Transmutation Operators [PDF]
For each of the eight $n$-th derivative parameter changing formulas for Gauss hypergeometric functions a corresponding fractional integration formula is given.
Koornwinder, Tom H.
core +5 more sources
Integral inequalities for ℘-convex functions are established by using a generalised fractional integral operator based on Raina’s function. Hermite–Hadamard type inequality is presented for ℘-convex functions via generalised fractional integral operator.
Saima Rashid +3 more
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Morrey spaces and fractional integral operators
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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Some results on quantum Hahn integral inequalities
In this paper the quantum Hahn difference operator and the quantum Hahn integral operator are defined via the quantum shift operator Φqθ(t)=qt+(1−q)θ $_{\theta }\varPhi _{q}(t)=qt+(1-q)\theta $, t∈[a,b] $t\in [a,b]$, θ=ω/(1−q)+a $\theta = \omega /(1-q)+a$
Suphawat Asawasamrit +3 more
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Integral representation for fractional Laplace–Beltrami operators [PDF]
In this paper we provide an integral representation of the fractional Laplace-Beltrami operator for general riemannian manifolds which has several interesting applications. We give two different proofs, in two different scenarios, of essentially the same result. One of them deals with compact manifolds with or without boundary, while the other approach
Alonso-Orán, Diego +2 more
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CERTAIN FRACTIONAL INTEGRAL INEQUALITIES ASSOCIATED WITH PATHWAY FRACTIONAL INTEGRAL OPERATORS
During the past two decades or so, fractional integral inequalities have proved to be one of the most powerful and far-reaching tools for the development of many branches of pure and applied mathematics. Very recently, many authors have presented some generalized inequalities involving the fractional integral operators.
Praveen Agarwal, Junesang Choi
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Fractional Integral Inequalities via Atangana-Baleanu Operators for Convex and Concave Functions
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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Certain Chebyshev-Type Inequalities Involving Fractional Conformable Integral Operators
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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Estimates for p-adic fractional integral operator and its commutators on p-adic Morrey–Herz spaces
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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