Results 21 to 30 of about 656,740 (269)
Journal of Mathematical Analysis and Applications, 1999 Let \(f_n(z)= z/(1- z)^{n+ 1}\), \(n\in N_0\), and \(f^{(-1)}_n\) be defined such that \(f_n* f^{-1}_n= {z\over 1-z}\), where \(*\) denotes convolution (Hadamard product). Let \(f\) be analytic in the unit disc \(E\). The authors introduce a new operator \(I_nf= f^{(-1)}_n* f\) which is analogous to one defined by Ruscheweyh.
Inayat Noor, Khalida +1 more
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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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Ｒesearch on Generalized Sugeno Fuzzy Probability Integral Based on t-Modular Operator
Journal of Harbin University of Science and Technology, 2021 Fuzzy probability integral is an important part of fuzzy mathematics，and it is an integral form which combines fuzzy probability with integral. In this paper，a quasi-multiplication operator and a quasi-sum operator are designed by using the definition ...
ZHANO Hui, JIANG Xin-ge, SHAN Yun-xiao
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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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Open Mathematics, 2015 In this paper, the boundedness properties for some Toeplitz type operators associated to the Riesz potential and general integral operators from Lebesgue spaces to Orlicz spaces are proved.
Chen Dazhao
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Integral operators with operator-valued kernels
Journal of Mathematical Analysis and Applications, 2004 Let \((X,\|.\|_X),(Y,\|.\|_Y)\) be Banach spaces with norms \(\|.\|_X\), \(\|.\|_Y\), and let \((S,{\mathcal S},v)\), \((T,{\mathcal T},\mu)\), be \(\sigma\)-finite measure spaces. If \(1\leq p \alpha\})= 0\}. \] The class of bounded linear operators from \(X\) into \(Y\) is denoted by \({\mathcal B}(X,Y)\), and the adjoint space of bounded linear ...
Girardi, Maria, Weis, Lutz
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Advances in Difference Equations, 2020 The present work investigates the applicability and effectiveness of generalized proportional fractional integral ( GPFI $\mathcal{GPFI}$ ) operator in another sense.
Thabet Abdeljawad +4 more
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Pseudospectral Method Based on Müntz–Legendre Wavelets for Solving the Abel Integral Equation
Journal of Mathematics, 2022 This paper deals with the numerical solution of the Abel integral equation based on Müntz–Legendre wavelets. To this end, the Abel integral operator is represented by Müntz–Legendre wavelets as an operational matrix.
Ioannis Dassios +2 more
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Integral Operators on Lattices [PDF]
Order, 2022 This paper introduces the notion of integral operators on lattices and studies their role in understanding lattices, their classification and their derived structures. As is well known, the derivation, or differential operator, and integral operator are fundamental in analysis and its broad applications.
Aiping Gan, Li Guo, Shoufeng Wang
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Integral type operators from normal weighted Bloch spaces to QT,S spaces
Journal of Hebei University of Science and Technology, 2016 Operator theory is an important research content of the analytic function space theory. The discussion of simultaneous operator and function space is an effective way to study operator and function space.
Yongyi GU, Wenjun YUAN, Fanning MENG
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