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CONVERGENCE AND SUMMABILITY OF FOURIER - SOBOLEV SERIES
Some results of convergence and -summability (uniformly and almost everywhere) of Fourier-Sobolev series for polynomials orthogonal in continual-discrete Sobolev spaces are provided in the paper. These results expand and generalize the corresponding statements made by Fourier, Gegenbauer and Sobolev.
CONVERGENCE AND SUMMABILITY OF FOURIER - SOBOLEV SERIES
Some results of convergence and -summability (uniformly and almost everywhere) of Fourier-Sobolev series for polynomials orthogonal in continual-discrete Sobolev spaces are provided in the paper. These results expand and generalize the corresponding statements made by Fourier, Gegenbauer and Sobolev.
CONVERGENCE AND SUMMABILITY OF FOURIER - SOBOLEV SERIES
Osilenker Boris Petrovich (author)
2012
Article (Journal)
Electronic Resource
Unknown
Fourier - Gegenbauer - Sobolev series , Gegenbauer - Sobolev polynomials , Fourier-Sobolev series , Sobolev space , Dini - Lipschitz condition , convergence of the Fourier series , linear method of summability , Lipschitz class , orthogonal polynomials , Architecture , NA1-9428 , Construction industry , HD9715-9717.5
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