On integral inequalities associated with a linear operator equation

Subrahmanyam, M. B.

doi:10.1090/S0002-9939-1984-0759650-6

On integral inequalities associated with a linear operator equation
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by M. B. Subrahmanyam PDF

Proc. Amer. Math. Soc. 92 (1984), 342-346 Request permission

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.

References

M. B. Subrahmanyam, On applications of control theory to integral inequalities, J. Math. Anal. Appl. 77 (1980), no. 1, 47–59. MR 591261, DOI 10.1016/0022-247X(80)90260-7
M. B. Subrahmanyam, On applications of control theory to integral inequalities, J. Math. Anal. Appl. 77 (1980), no. 1, 47–59. MR 591261, DOI 10.1016/0022-247X(80)90260-7
M. B. Subrahmanyam, A control problem with application to integral inequalities, J. Math. Anal. Appl. 81 (1981), no. 2, 346–355. MR 622823, DOI 10.1016/0022-247X(81)90068-8
M. B. Subrahmanyam, An extremal problem for convolution inequalities, J. Math. Anal. Appl. 87 (1982), no. 2, 509–516. MR 658030, DOI 10.1016/0022-247X(82)90140-8
I. V. Girsanov, Lectures on mathematical theory of extremum problems, Lecture Notes in Economics and Mathematical Systems, Vol. 67, Springer-Verlag, Berlin-New York, 1972. Edited by B. T. Poljak; Translated from the Russian by D. Louvish. MR 0464021