Results 21 to 30 of about 20,934 (266)
Integrated Resolvent Operators [PDF]
Journal of Integral Equations and Applications, 1995 Der Autor betrachtet die Integro-Differential-Gleichung \[ u'(t)=Au (t)+\int^t_0 B(t-s) u(s) ds+f(t), \quad t\in [ 0,T ], \quad u(0) =x. \tag{VE} \] Dabei ist \(A\) ein linearer abgeschlossener Operator mit (nicht notwendig dichtem) Definitionsbereich \(D(A)\) in einem Banachraum \(X\), der die Hille-Yoshida-Bedingung erfüllt. Es gibt reelle Konstanten
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Journal of Inequalities and Applications, 2020 In this paper, we obtain the endpoint boundedness for the commutators of singular integral operators with BMO functions and the associated maximal operators on weighted generalized Morrey spaces.
Jinyun Qi, Xuefang Yan, Wenming Li
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Fractal and Fractional, 2022 In this paper, by adopting the classical method of proofs, we establish certain new Chebyshev and Grüss-type inequalities for unified fractional integral operators via an extended generalized Mittag-Leffler function. The main results are more general and
Wengui Yang
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Spiral like integral operators
International Journal of Mathematics and Mathematical Sciences, 1981 In this paper we investigate the Robertson-Libera integral operators for the class of spiral like univalent and analytic functions. We find that special types of transformations preserve the class property.
Shyam K. Bajpai
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The Minkowski inequality involving generalized k-fractional conformable integral
Journal of Inequalities and Applications, 2019 In the research paper, the authors exploit the definition of a new class of fractional integral operators, recently proposed by Jarad et al. (Adv. Differ. Equ.
Shahid Mubeen +2 more
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A Hierarchy of Integral Operators
Rocky Mountain Journal of Mathematics, 1997 Let \(m\) and \(n\) be integers with \(m+n \geq 0\), \(m^2+ n^2>0\), we define functions \(K_{m,n}\) as follows: \[ K_{m,n} (z)= (-m)! (-1)^m \bigl[(n-1)! \pi\bigr]^{-1} z^{m-1} \overline z^{n-1} \quad \text{for} \quad m\leq 0, \] \[ K_{m,n} (z)= (-n)! (-1)^n\bigl[ (m-1)!
Begehr, Heinrich, Hile, G.N.
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Rough Marcinkiewicz integral operators
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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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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COMPOSITE OPERATORS AS INTEGRATION VARIABLES IN BEREZIN INTEGRALS [PDF]
Modern Physics Letters A, 1995 We define nonlinear changes of variables in Berezin integrals as new integration variables of homogeneous polynomials of the defining elements in the Grassmann algebra. We perform such a change of variables in the partition function of QCD by introducing as integration variables cubic and quadratic polynomials of the quark field, with the quantum ...
De Franceschi, G., Palumbo, F.
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Generalized k-Fractional Chebyshev-Type Inequalities via Mittag-Leffler Functions
Axioms, 2022 Mathematical inequalities have gained importance and popularity due to the application of integral operators of different types. The present paper aims to give Chebyshev-type inequalities for generalized k-integral operators involving the Mittag-Leffler ...
Zhiqiang Zhang +4 more
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