Results 71 to 80 of about 4,127,898 (306)
SHARP CONDITIONS FOR WEIGHTED INTEGRABILITY OF q-DUNKL FOURIER TRANSFORMS
Проблемы анализаWe obtain sufficient conditions for the weighted inte grability of the q-Dunkl Fourier transforms of functions from gen eralized integral Lipschitz classes. In the L^2 case, we prove the sharpness of these conditions.
S. S. Volosivets
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Approximation of certain bivariate functions by almost Euler means of double Fourier series
Journal of Inequalities and Applications, 2018 In this paper, we study the degree of approximation of 2π-periodic functions of two variables, defined on T2=[−π,π]×[−π,π] $T^{2}=[-\pi,\pi]\times[-\pi,\pi]$ and belonging to certain Lipschitz classes, by means of almost Euler summability of their ...
Arti Rathore, Uaday Singh
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Mathematics, 2023 Recently, the split inverse problem has received great research attention due to its several applications in diverse fields. In this paper, we study a new class of split inverse problems called the split variational inequality problem with multiple ...
Timilehin Opeyemi Alakoya +1 more
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Approximate amenability of Schatten classes, Lipschitz algebras and second duals of Fourier algebras
, 2009 Amenability of any of the algebras described in the title is known to force them to be finite-dimensional. The analogous problems for \emph{approximate} amenability have been open for some years now.
Choi, Yemon, Ghahramani, Fereidoun
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A Coarse Geometric Approach to Graph Layout Problems
Journal of Graph Theory, EarlyView.ABSTRACT We define a range of new coarse geometric invariants based on various graph–theoretic measures of complexity for finite graphs, including treewidth, pathwidth, cutwidth and bandwidth. We prove that, for bounded degree graphs, these invariants can be used to define functions which satisfy a strong monotonicity property, namely, they are ...
Wanying Huang +3 more
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Polyanalytic Hardy decomposition of higher order Lipschitz functions
, 2020 This paper is concerned with the problem of decomposing a higher order Lipschitz function on a closed Jordan curve $\Gamma$ into a sum of two polyanalytic functions in each open domain defined by $\Gamma$.
Blaya, Ricardo Abreu +1 more
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Equivalences of Nonlinear Higher Order Fractional Differential Equations With Integral Equations
Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6930-6942, April 2025.ABSTRACT Equivalences of initial value problems (IVPs) of both nonlinear higher order (Riemann–Liouville type) fractional differential equations (FDEs) and Caputo FDEs with the corresponding integral equations are studied in this paper. It is proved that the nonlinearities in the FDEs can be L1$$ {L}^1 $$‐Carathéodory with suitable conditions.
Kunquan Lan
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Approximation Theorem for New Modification of q-Bernstein Operators on (0,1)
Journal of Function Spaces, 2021 In this work, we extend the works of F. Usta and construct new modified q-Bernstein operators using the second central moment of the q-Bernstein operators defined by G. M. Phillips.
Yun-Shun Wu +3 more
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, 2005 R.P. Boas has found necessary and sufficient conditions of belonging of function to Lipschitz class. From his findings it turned out, that the conditions on sine and cosine coefficients for belonging of function to Lip α(0 < α < 1) are the same ...
Tikhonov, Sergey Yu. +1 more
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A Characterisation of Lipschitz Classes on 0-Dimensional Groups [PDF]
Proceedings of the American Mathematical Society, 1975 This paper is concerned with characterising, in terms of certain properties of their Fourier transforms, the Lipschitz functions of order α ( 0 > α > 1 ) \alpha (0 > \alpha > 1) defined on a locally compact metric 0 0 -dimensional Abelian group.
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