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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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An integral inequality
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by J. Ernest Wilkins PDF
Proc. Amer. Math. Soc. 113 (1991), 345-353 Request permission

Abstract:

We furnish conditions on the functions $p(t),f(t)$, and $g(t)$ that are sufficient for the validity of the inequality, ${\alpha ^2}\delta \geq {\gamma ^2}\beta$, in which $\alpha ,\beta ,\gamma$, and $\delta$ respectively, are the integrals over a measurable set $E$ of $p(t)g(t),p(t){g^2}(t),p(t)f(t)$, and $p(t){f^2}(t)$.
References
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  • J. E. Wilkins, Jr., Apodization for maximum Strehl criterion and specified Sparrow limit of resolution for coherent illumination, J. Optical Soc. Amer. 67 (1977), 553-557.
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Additional Information
  • © Copyright 1991 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 113 (1991), 345-353
  • MSC: Primary 26D15
  • DOI: https://doi.org/10.1090/S0002-9939-1991-1086585-8
  • MathSciNet review: 1086585