Schlömilch polynomials: Riesz's interpolation formula for B-derivatives and Bernstein's inequality for Weyl-Marchaud fractional B-derivatives

DOI10.1134/S1064562407060270zbMath1163.33003OpenAlexW1972128505MaRDI QIDQ957825

E. L. Sanina, Lev N. Lyakhov

Publication date: 1 December 2008

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562407060270

zbMATH Keywords

Bessel functions\(B\)-derivativesfractional \(B\)-derivativesSchlömlich series

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (2)

Interpolation formulas for B-derivative of the Schlömilch \(j\)-polynomial ⋮ The construction of Dirichlet and de la Vallée-Poussin–Nikol’skiĭ kernels for $\mathrm {j}$-Bessel Fourier integrals

Cites Work

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