Convergence of multidimensional interpolation polynomials of functions of bounded harmonic variations

DOI10.3103/S1068362315020041zbMath1334.42004OpenAlexW2055601529MaRDI QIDQ260283

A. R. Nurbekyan

Publication date: 21 March 2016

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1068362315020041

zbMATH Keywords

partial sumsharmonic variationmultidimensional trigonometric interpolation polynomialsPringsheim convergence

Mathematics Subject Classification ID

Trigonometric interpolation (42A15) Summability in several variables (42B08)

Cites Work

• Unnamed Item
• Convergence of two-dimensional trigonometric interpolation polynomials of functions of bounded harmonic variation
• On the summability of Fourier series of functions of Λ-bounded variation
• Continuity in $ \Lambda$-variation of functions of several variables and convergence of multiple Fourier series
• On convergence of Fourier series of functions of generalized bounded variation
• The convergence of partial sums of interpolating polynomials

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