On integral inequalities associated with a linear operator equation

Author:

Subrahmanyam M. B.

Abstract

In this paper we apply control theoretic concepts to formulate and solve a generalized problem for the determination of best possible constants in integral inequalities. We investigate the problem of existence of functions for which the best constant is attained, and also the conditions satisfied by these functions.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference5 articles.

1. On applications of control theory to integral inequalities;Subrahmanyam, M. B.;J. Math. Anal. Appl.,1980

2. On applications of control theory to integral inequalities;Subrahmanyam, M. B.;J. Math. Anal. Appl.,1980

3. A control problem with application to integral inequalities;Subrahmanyam, M. B.;J. Math. Anal. Appl.,1981

4. An extremal problem for convolution inequalities;Subrahmanyam, M. B.;J. Math. Anal. Appl.,1982

5. Lecture Notes in Economics and Mathematical Systems, Vol. 67;Girsanov, I. V.,1972

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