Results 11 to 20 of about 1,854 (206)

Smoothness of generalized solutions to the Dirichlet problem for strongly elliptic functional differential equations with orthotropic contractions on the boundary of adjacent subdomains

Современная математика: Фундаментальные направления, 2023
The paper is devoted to the study of the smoothness of generalized solutions of the first boundaryvalue problem for a strongly elliptic functional differential equation containing orthotropic contraction transformations of the arguments of the unknown ...
A. L. Tasevich
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Certain results for a class of nonlinear functional spaces

Karpatsʹkì Matematičnì Publìkacìï, 2020
In this article, we study properties of a class of functional spaces, so-called pn-spaces, which arise from investigation of nonlinear differential equations.
K. Soltanov, U. Sert
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Boundedness of Lebesgue Constants and Interpolating Faber Bases

Наукові вісті Національного технічного університету України "Київський політехнічний інститут", 2017
Background. We investigate the relationship between the boundedness of Lebesgue constants for the Lagrange polynomial interpolation on a compact subset of \[\mathbb R\] and the existence of a Faber basis in the space of continuous functions on this ...
Viktoriia V. Bilet, Oleksiy A. Dovgoshey, Jürgen Prestin   +2 more
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Lipschitz Estimates for Fractional Multilinear Singular Integral on Variable Exponent Lebesgue Spaces

Abstract and Applied Analysis, 2013
We obtain the Lipschitz boundedness for a class of fractional multilinear operators with rough kernels on variable exponent Lebesgue spaces. Our results generalize the related conclusions on Lebesgue spaces with constant exponent.
Hui-Ling Wu, Jia-Cheng Lan
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Symmetric continuous linear functionals on complex space $L_\infty[0,1]$

Karpatsʹkì Matematičnì Publìkacìï, 2014
We prove that every symmetric continuous linear functional on the complex space $L_\infty[0,1]$ can be represented as a Lebesgue integral multiplied by a constant.
T.V. Vasylyshyn
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Lebesgue Constants for Jacobi Expansions [PDF]

Proceedings of the American Mathematical Society, 1983
Sharp estimates are given for the Lebesgue constants | | | s n | | | p = sup {
openaire   +2 more sources

Weighted Lagrange and Hermite–Fejér interpolation on the real line

Journal of Inequalities and Applications, 1997
For a wide class of weights, a systematic investigation of the convergence-divergence behavior of Lagrange interpolation is initiated. A system of nodes with optimal Lebesgue constant is found, and for Hermite weights an exact lower estimate of the norm ...
J. Szabados
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A Note on Noneffective Weights in Variable Lebesgue Spaces

Journal of Function Spaces and Applications, 2012
We study noneffective weights in the framework of variable exponent Lebesgue spaces, and we show that Lp(⋅)(Ω)=Lωp(⋅)(Ω) if and only if ω(x)1/p(x)~constant in the set where p(⋅)
Alberto Fiorenza, Miroslav Krbec
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Matrix Summability of Walsh–Fourier Series

Mathematics, 2022
The presented paper discusses the matrix summability of the Walsh–Fourier series. In particular, we discuss the convergence of matrix transforms in L1 space and in CW space in terms of modulus of continuity and matrix transform variation.
Ushangi Goginava, Károly Nagy
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Fractional Langevin Equation Involving Two Fractional Orders: Existence and Uniqueness Revisited

Mathematics, 2020
We consider the nonlinear fractional Langevin equation involving two fractional orders with initial conditions. Using some basic properties of Prabhakar integral operator, we find an equivalent Volterra integral equation with two parameter Mittag–Leffler
Hossein Fazli, HongGuang Sun, Juan J. Nieto   +2 more
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