Abstract
An integral recursive inequality for two functions is obtained. It is used to describe the equality cases in the related inequalities. The applications involve some bi-Hermitian forms, integral transformations, and confluent hypergeometric functions.
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Grinshpan, A.Z. An integral recursive inequality and applications. Ramanujan J 15, 187–196 (2008). https://doi.org/10.1007/s11139-007-9071-3
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DOI: https://doi.org/10.1007/s11139-007-9071-3
Keywords
- Integral inequalities
- Recursive inequalities
- Gamma function
- Beta function
- Bi-Hermitian forms
- Convolutions
- Fractional integrals
- Integral transformations
- Confluent hypergeometric functions
- Functional equations