Results 1 to 10 of about 2,461 (148)
Lebesgue functions and Lebesgue constants in polynomial interpolation [PDF]
Journal of Inequalities and Applications, 2016 The Lebesgue constant is a valuable numerical instrument for linear interpolation because it provides a measure of how close the interpolant of a function is to the best polynomial approximant of the function.
Bayram Ali Ibrahimoglu
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Generalized Lebesgue Points for Hajłasz Functions
Journal of Function Spaces, 2018 Let X be a quasi-Banach function space over a doubling metric measure space P. Denote by αX the generalized upper Boyd index of X.
Toni Heikkinen
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Two-dimensional limit series in ultraspherical Jacobi polynomials and their approximative properties [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021 Let $C[-1,1]$ be the space of functions continuous on the segment $[-1,1]$, $C[-1,1]^2$ be the space of functions continuous on the square $[-1,1]^2$. We denote by $P_n^\alpha(x)$ the ultraspherical Jacobi polynomials.
Guseinov, Ibraghim G. +1 more
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Open Mathematics, 2021 In this paper, we consider the maximal operator related to the Laplace-Bessel differential operator (BB-maximal operator) on Lp(⋅),γ(Rk,+n){L}_{p\left(\cdot ),\gamma }\left({{\mathbb{R}}}_{k,+}^{n}) variable exponent Lebesgue spaces.
Kaya Esra
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A Generalization of the Hausdorff Dimension Theorem for Deterministic Fractals
Mathematics, 2021 How many fractals exist in nature or the virtual world? In this paper, we partially answer the second question using Mandelbrot’s fundamental definition of fractals and their quantities of the Hausdorff dimension and Lebesgue measure.
Mohsen Soltanifar
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Kaitan Antara Ruang Sobolev dan Ruang Lebesgue
Jurnal Fourier, 2017 Measureable function space and its norm with integral form has been known, one of which is Lebegsue Space and Sobolev Space. In applied Mathematics like in finding solution of partial differential equations, that two spaces is soo usefulness.
Pipit Pratiwi Rahayu
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Geometry of Lebesgue-Bochner Function Spaces-Smoothness [PDF]
Transactions of the American Mathematical Society, 1973 There exist real Banach spaces E such that the norm in E is of class C' away from zero; however, for any p, I < p < oo, the norm in the Lebesgue-Bochner function space LP(E, ,u) is not even twice differentiable away from zero. The main objective of this paper is to give a complete determination of the order of differentiability of the norm function in ...
Leonard, I. E., Sundaresan, K.
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Rotundity in Lebesgue-Bochner function spaces [PDF]
Transactions of the American Mathematical Society, 1980 This paper concerns the isometric theory of the Lebesgue-Bochner function space L p ( μ , X ) {L^p}(\mu ,\,X) where 1 > p > ∞ 1 > p > \infty .
Smith, Mark A., Turett, Barry
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SIFAT-SIFAT DASAR PERLUASAN INTEGRAL LEBESGUE
Barekeng, 2012 EL-Integral is extended of Lebesgue integral, 1 k b EL f d L f d . Lebesgue integral is defined with early arrange measure theory that famous with Lebesgue measure.
Yopi A. Lesnussa +2 more
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Property (H) in Lebesgue-Bochner Function Spaces [PDF]
Proceedings of the American Mathematical Society, 1985 We prove that if a Banach space X X has the property (HR) and if l 1 {l_1} is not isomorphic to a subspace of X X , then every point on the unit sphere of X X is a denting point of the closed unit ball.
Lin, Bor-Luh, Lin, Pei-Kee
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