Results 11 to 20 of about 54,965 (200)

ON THE BEST APPROXIMATION OF THE DIFFERENTIATION OPERATOR [PDF]

open access: yesUral Mathematical Journal, 2015
In this paper we give a solution of the problem of the best approximation in the uniform norm of the differentiation operator of order k by bounded linear operators in the class of functions with the property that the Fourier transforms of their ...
Vitalii V. Arestov
doaj   +5 more sources

Completion of the Kernel of the Differentiation Operator

open access: yesМоделирование и анализ информационных систем, 2017
When investigating piecewise polynomial approximations in spaces \(L_p, \; 0~<~p~<~1,\) the author considered the spreading of k-th derivative (of the operator) from Sobolev spaces \(W_1 ^ k\) on spaces that are, in a sense, their successors with a
Anatoly N. Morozov
doaj   +2 more sources

Laplace Operator with Caputo-Type Marichev–Saigo–Maeda Fractional Differential Operator of Extended Mittag-Leffler Function

open access: yesDiscrete Dynamics in Nature and Society, 2021
In this paper, the Laplace operator is used with Caputo-Type Marichev–Saigo–Maeda (MSM) fractional differentiation of the extended Mittag-Leffler function in terms of the Laplace function.
Adnan Khan   +3 more
doaj   +2 more sources

Analysis of the difference scheme of wave equation equivalent with fractional differentiation operator

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
Analysis of the difference scheme of boundary-value problem for the wave equation analogue is made. Explicit and implicit difference schemes for numerical solution of the first boundary-value problem for the wave equation analogue with Caputo fractional ...
Vetlugin D Beybalaev, Amuchi Z Yakubov
doaj   +2 more sources

Beta Operator with Caputo Marichev-Saigo-Maeda Fractional Differential Operator of Extended Mittag-Leffler Function

open access: yesAdvances in Mathematical Physics, 2021
In this paper, a beta operator is used with Caputo Marichev-Saigo-Maeda (MSM) fractional differentiation of extended Mittag-Leffler function in terms of beta function.
Tayyaba Manzoor   +3 more
doaj   +2 more sources

Countable Additivity of Spreading the Differentiation Operator

open access: yesМоделирование и анализ информационных систем, 2014
In this article, we continue the study of the properties acquired by the differentiation operator Λ with spreading beyond the space W1¹. The study is conducted by introducing the family of spaces Yp¹ , 0 < p < 1, having analogy with the family Wp¹,
A. N. Morozov
doaj   +2 more sources

Hyers-Ulam Stability of Differentiation Operator on Hilbert Spaces of Entire Functions [PDF]

open access: yesJournal of Function Spaces, 2014
We investigate the Hyers-Ulam stability of differentiation operator on Hilbert spaces of entire functions. We give a necessary and sufficient condition in order that the operator has the Hyers-Ulam stability and also show that the best constant of Hyers ...
Chun Wang, Tian-Zhou Xu
doaj   +2 more sources

Dynamics of differentiation operators on generalized weighted Bergman spaces

open access: yesOpen Mathematics, 2014
The chaos of the differentiation operator on generalized weighted Bergman spaces of entire functions has been characterized recently by Bonet and Bonilla in [CAOT 2013], when the differentiation operator is continuous.
Zhang Liang, Zhou Ze-Hua
doaj   +2 more sources

Metrical Boundedness and Compactness of a New Operator between Some Spaces of Analytic Functions

open access: yesAxioms, 2023
The metrical boundedness and metrical compactness of a new operator from the weighted Bergman-Orlicz spaces to the weighted-type spaces and little weighted-type spaces of analytic functions are characterized.
Stevo Stević
doaj   +1 more source

Bounded on the semi-axis multiperiodic solution of a linear finite-hereditarity integro-differential equation of parabolic type

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2023
The question of the existence of a solution of linear integro-differential systems of parabolic type limited on the semiaxis in a spatial variable and multiperiodic in time variables was considered. Sufficient conditions of multiperiodic oscillations in
Zh.A. Sartabanov, G.M. Aitenova
doaj   +1 more source

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