scholarly journals A functional generalization of the reverse Hölder integral inequality on time scales

2011 ◽  
Vol 54 (11-12) ◽  
pp. 2939-2942 ◽  
Author(s):  
Guangsheng Chen ◽  
Zhan Chen
Keyword(s):  
Time Scales ◽  
Integral Inequality ◽  
Reverse Hölder

scholarly journals Properties of Some Partial Dynamic Equations on Time Scales

2013 ◽  
Vol 2013 ◽  
pp. 1-9
Author(s):  
Deepak B. Pachpatte
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Time Scales ◽  
Point Theorem ◽  
Integral Inequality ◽  
Dynamic Equation ◽  
Dynamic Equations ◽  
Banach Fixed Point Theorem

The main objective of the paper is to study the properties of the solution of a certain partial dynamic equation on time scales. The tools employed are based on the application of the Banach fixed-point theorem and a certain integral inequality with explicit estimates on time scales.

SOME REVERSE DYNAMIC INEQUALITIES ON TIME SCALES

2017 ◽  
Vol 96 (3) ◽  
pp. 445-454 ◽  
Author(s):  
R. P. AGARWAL ◽  
R. R. MAHMOUD ◽  
D. O’REGAN ◽  
S. H. SAKER
Keyword(s):  
Time Scales ◽  
Hölder Inequality ◽  
Chain Rule ◽  
Fubini Theorem ◽  
Reverse Hölder Inequality ◽  
Reverse Hölder

In this paper, we prove some new reverse dynamic inequalities of Renaud- and Bennett-type on time scales. The results are established using the time scales Fubini theorem, the reverse Hölder inequality and a time scales chain rule.

scholarly journals Hölder’s reverse inequality and its applications

2016 ◽  
Vol 99 (113) ◽  
pp. 211-216 ◽  
Author(s):  
Chang-Jian Zhao ◽  
Wing Cheung
Keyword(s):  
Integral Inequality ◽  
Discrete Version ◽  
Power Mean ◽  
Reverse Inequality ◽  
Reverse Hölder

We establish a new reverse Holder integral inequality and its discrete version. As applications, we prove Radon?s, Jensen?s reverse and weighted power mean inequalities and their discrete versions.

scholarly journals Steffensen's Integral Inequality on Time Scales

2007 ◽  
Vol 2007 ◽  
pp. 1-11 ◽  
Author(s):  
Umut Mutlu Ozkan ◽  
Hüseyin Yildirim
Keyword(s):  
Time Scales ◽  
Integral Inequality

scholarly journals Integral Inequality of Hardy-Type on Time Scales

2019 ◽  
Vol 09 (06) ◽  
pp. 534-543
Author(s):  
Emmanuella Ehui Aribike ◽  
Yisa Oluwatoyin Anthonio ◽  
Kamilu Rauf ◽  
Michael Oyelami Ajisope
Keyword(s):  
Time Scales ◽  
Integral Inequality ◽  
Hardy Type

scholarly journals Some reverse Hölder inequalities with Specht's ratio on time scales

2018 ◽  
Vol 11 (04) ◽  
pp. 444-455 ◽  
Author(s):  
A. A. El-Deeb ◽  
H. A. Elsennary ◽  
Wing-Sum Cheung
Keyword(s):  
Time Scales ◽  
Reverse Hölder Inequalities ◽  
Reverse Hölder

scholarly journals Oscillation criteria for a class of third-order Emden–Fowler delay dynamic equations with sublinear neutral terms on time scales

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Zhiyu Zhang ◽  
Ruihua Feng
Keyword(s):  
Time Scales ◽  
Integral Inequality ◽  
Dynamic Equations ◽  
Riccati Transformation ◽  
Third Order ◽  
Oscillation Criteria ◽  
Delay Dynamic Equations

AbstractIn this paper, we study the oscillation of a class of third-order Emden–Fowler delay dynamic equations with sublinear neutral terms on time scales. By using Riccati transformation and integral inequality, we establish several new theorems to ensure that each solution of the equation oscillates or asymptotically approaches zero, and the results in the literature are supplemented and extended. Examples are given to illustrate our main results.

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