Inequalities for positive definite functions

DOI10.1134/S000143462011022XzbMath1459.42009OpenAlexW3113020479MaRDI QIDQ2217281

Viktor P. Zastavnyi

Publication date: 29 December 2020

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s000143462011022x

zbMATH Keywords

positive definite kernelspositive definite functionsHilbert's inequalityIngham's inequalityGorin's inequalityKrein's inequalityWeil's inequality

Mathematics Subject Classification ID

Generalizations of inner products (semi-inner products, partial inner products, etc.) (46C50) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Positive definite functions in one variable harmonic analysis (42A82) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Cites Work

• Inequalities for positive-definite functions
• Positive definite functions as an instrument of mathematical analysis
• Multivariate characteristic and correlation functions
• On generalizations of M. G. Krein, E. A. Gorin and Yu. V. Linnik inequalities for positive definite functions for multipoint case
• A Note on Hilbert's Inequality
• Theory of Reproducing Kernels
• On positive definiteness of some functions
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