Volterra convolution equations: solution–kernel connection

DOI10.1080/10652469.2011.575072zbMath1248.45001OpenAlexW1986665557MaRDI QIDQ2892824

Arcadii Z. Grinshpan

Publication date: 25 June 2012

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

Full work available at URL: https://doi.org/10.1080/10652469.2011.575072

zbMATH Keywords

hypergeometric functionsconvolutionsweighted integral inequalitiesintegro-differential inequalitiesVolterra equations of the first kind

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Inequalities for sums, series and integrals (26D15) Volterra integral equations (45D05) Inequalities involving derivatives and differential and integral operators (26D10) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (4)

Weighted convolutions associated with probability functions and Bernstein polynomials ⋮ Generalized hypergeometric functions: product identities and weighted norm inequalities ⋮ Weighted norm inequalities for convolutions, differential operators, and generalized hypergeometric functions ⋮ Formulas and Inequalities for Some Special Functions of a Complex Variable

Cites Work

• Weighted norm inequalities for analytic functions
• Weighted integral and integro-differential inequalities
• General inequalities, consequences and applications
• Weighted inequalities and negative binomials
• An integral recursive inequality and applications
• Inequalities for formal power series and entire functions
• Integral inequalities for some special functions
• A family of integral equations with restricted solutions
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