Weighted convolutions associated with probability functions and Bernstein polynomials

DOI10.1080/10652469.2015.1075987zbMath1332.26040OpenAlexW1677996045MaRDI QIDQ3448974

Arcadii Z. Grinshpan

Publication date: 3 November 2015

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2015.1075987

zbMATH Keywords

Bernstein polynomialsprobability functionsnegative binomial coefficients inequalities

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Binomial coefficients; factorials; (q)-identities (11B65) Gamma, beta and polygamma functions (33B15) Inequalities for sums, series and integrals (26D15) Approximation by polynomials (41A10)

Related Items (1)

Formulas and Inequalities for Some Special Functions of a Complex Variable

Cites Work

• Unnamed Item
• On the convolution of the negative binomial random variables
• A class of bivariate negative binomial distributions with different index parameters in the marginals
• Weighted norm inequalities for analytic functions
• Weighted norm inequalities for convolutions, differential operators, and generalized hypergeometric functions
• Weighted inequalities and negative binomials
• Generalized hypergeometric functions: product identities and weighted norm inequalities
• An integral recursive inequality and applications
• Inequalities for formal power series and entire functions
• Integral inequalities for some special functions
• Volterra convolution equations: solution–kernel connection
• Univariate Discrete Distributions

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