Polya-type inequalities for arbitrary functions

Date

2001

Authors

Pearce, Charles Edward Miller
Pecaric, Josip
Varosanec, Sanja

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Journal article

Citation

Houston Journal of Mathematics, 2001; 27 (3):601-612

Statement of Responsibility

C. E. M. Pearce, J. Pevcaric, and S. Varovsanec

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Abstract

Generalizations of the Polya integral inequality for nonnegative, nondecreasing functions are given involving real and operator functions which satisfy certain subordination and boundary conditions but are otherwise arbitrary. Both discrete and integral versions of the results are addressed. Applications are made to generalized quasiarithmetic means, symmetric means and to operator means.

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School of Mathematical Sciences : Applied Mathematics

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