A variety of inverse hilbert type inequalities on time scales

S. H. Saker; H. M. Rezk; D. O’Regan; R. P. Agarwal

A variety of inverse hilbert type inequalities on time scales

S. H. Saker
, H. M. Rezk
, D. O’Regan
, R. P. Agarwal

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

13 Citations (Scopus)

Abstract

Using algebraic inequalities, the reverse Hölder inequality, the reverse Jensen inequality and a simple consequence of Keller’s chain rule on time scales, we prove some new inverse dynamic inequalities of Hilbert type on a time scales T.

Original language	English
Pages (from-to)	347-373
Number of pages	27
Journal	Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis
Volume	24
Issue number	5
Publication status	Published - 2017

Keywords

Hilbert’s inequality
Hölder’s inequality
Jensen’s inequality
Time scales

Cite this

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title = "A variety of inverse hilbert type inequalities on time scales",

abstract = "Using algebraic inequalities, the reverse H{\"o}lder inequality, the reverse Jensen inequality and a simple consequence of Keller{\textquoteright}s chain rule on time scales, we prove some new inverse dynamic inequalities of Hilbert type on a time scales T.",

keywords = "Hilbert{\textquoteright}s inequality, H{\"o}lder{\textquoteright}s inequality, Jensen{\textquoteright}s inequality, Time scales",

author = "Saker, \{S. H.\} and Rezk, \{H. M.\} and D. O{\textquoteright}Regan and Agarwal, \{R. P.\}",

note = "Publisher Copyright: Copyright {\textcopyright} 2017 Watam Press",

year = "2017",

language = "English",

volume = "24",

pages = "347--373",

journal = "Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis",

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TY - JOUR

T1 - A variety of inverse hilbert type inequalities on time scales

AU - Saker, S. H.

AU - Rezk, H. M.

AU - O’Regan, D.

AU - Agarwal, R. P.

PY - 2017

Y1 - 2017

N2 - Using algebraic inequalities, the reverse Hölder inequality, the reverse Jensen inequality and a simple consequence of Keller’s chain rule on time scales, we prove some new inverse dynamic inequalities of Hilbert type on a time scales T.

AB - Using algebraic inequalities, the reverse Hölder inequality, the reverse Jensen inequality and a simple consequence of Keller’s chain rule on time scales, we prove some new inverse dynamic inequalities of Hilbert type on a time scales T.

KW - Hilbert’s inequality

KW - Hölder’s inequality

KW - Jensen’s inequality

KW - Time scales

UR - https://www.scopus.com/pages/publications/85030760725

M3 - Article

AN - SCOPUS:85030760725

SN - 1201-3390

VL - 24

SP - 347

EP - 373

JO - Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis

JF - Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis

IS - 5

ER -

A variety of inverse hilbert type inequalities on time scales

Abstract

Keywords

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