Intelligent Analysis: Fractional Inequalities and Approximations Expanded by George A. Anastassiou

Author:George A. Anastassiou
Language: eng
Format: epub
ISBN: 9783030386368
Publisher: Springer International Publishing

(13.16)

(ii) If f is a decreasing (non-increasing) function on , we have

(13.17)

where

We denote by

(13.18)

for some per case.

We give the following Choquet-fractional-Polya inequality:

Theorem 13.8

Let , , , all considered as above in this section. Assume further that and . Set

(13.19)

Then

(13.20)

Proof

By Theorem 13.1 and earlier comments.

Usual Polya inequality with ordinary derivative requires boundary conditions making a Choquet-Polya inequality impossible.

We give applications:

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.