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Article


Title

Opial and Pólya type inequalities via convexity

Authors

Year of publication

2018

Published in

Fasciculi Mathematici

Journal year: 2018 | Journal number: nr 60

Article type

scientific article

Publication language

english

Keywords
EN
  • Opial’s inequality
  • Hölder's inequality
  • Jensen's inequality
  • time scales
Abstract

EN In this paper, we prove some new dynamic inequalities related to Opial and Pólya type inequalities on a time scale T. We will derive the integral and discrete inequalities of Polya’s type as special cases and also derive several classical integral inequalities of Opial’s type that has been obtained in the literature as special cases. The main results will be proved by using the chain rule, Hölder’s inequality and Jensen’s inequality, Taylor formula on time scales.

Pages (from - to)

145 - 159

DOI

10.1515/fascmath-2018-0009

License type

CC BY-NC-ND (attribution - noncommercial - no derivatives)

Full text of article

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Access level to full text

public

Points of MNiSW / journal

10.0

Points of MNiSW / journal in years 2017-2021

10.0

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