Inequalities of Hardy type and generalizations on time scales

Samir H. Saker; Mahmoud M. Osman; Donal O'Regan; Ravi P. Agarwal

doi:10.1515/anly-2017-0006

Inequalities of Hardy type and generalizations on time scales

Samir H. Saker
, Mahmoud M. Osman
, Donal O'Regan
, Ravi P. Agarwal

Mathematics

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

28 Citations (Scopus)

Abstract

In this paper, we prove some new dynamic inequalities on time scales which as special cases contain several generalizations of integral and discrete inequalities due to Hardy, Copson, Leindler, Bennett, Pachpatte and Pečarić and Hanjš.

Original language	English
Pages (from-to)	47-62
Number of pages	16
Journal	Analysis (Germany)
Volume	38
Issue number	1
DOIs	https://doi.org/10.1515/anly-2017-0006
Publication status	Published - 1 Mar 2018

Keywords

Bennetts inequality
convex functions
Copsons inequality
Hardys inequality
Jensens inequality
Leindlers inequality
time scales

Access to Document

10.1515/anly-2017-0006

Cite this

@article{7d24dd9012b44409b3bd645a45e07ff3,

title = "Inequalities of Hardy type and generalizations on time scales",

abstract = "In this paper, we prove some new dynamic inequalities on time scales which as special cases contain several generalizations of integral and discrete inequalities due to Hardy, Copson, Leindler, Bennett, Pachpatte and Pe{\v c}ari{\'c} and Hanj{\v s}.",

keywords = "Bennetts inequality, convex functions, Copsons inequality, Hardys inequality, Jensens inequality, Leindlers inequality, time scales",

author = "Saker, \{Samir H.\} and Osman, \{Mahmoud M.\} and Donal O'Regan and Agarwal, \{Ravi P.\}",

note = "Publisher Copyright: {\textcopyright} 2018 Walter de Gruyter GmbH, Berlin/Boston.",

year = "2018",

month = mar,

day = "1",

doi = "10.1515/anly-2017-0006",

language = "English",

volume = "38",

pages = "47--62",

journal = "Analysis (Germany)",

issn = "0174-4747",

publisher = "Walter de Gruyter GmbH",

number = "1",

}

TY - JOUR

T1 - Inequalities of Hardy type and generalizations on time scales

AU - Saker, Samir H.

AU - Osman, Mahmoud M.

AU - O'Regan, Donal

AU - Agarwal, Ravi P.

PY - 2018/3/1

Y1 - 2018/3/1

N2 - In this paper, we prove some new dynamic inequalities on time scales which as special cases contain several generalizations of integral and discrete inequalities due to Hardy, Copson, Leindler, Bennett, Pachpatte and Pečarić and Hanjš.

AB - In this paper, we prove some new dynamic inequalities on time scales which as special cases contain several generalizations of integral and discrete inequalities due to Hardy, Copson, Leindler, Bennett, Pachpatte and Pečarić and Hanjš.

KW - Bennetts inequality

KW - convex functions

KW - Copsons inequality

KW - Hardys inequality

KW - Jensens inequality

KW - Leindlers inequality

KW - time scales

UR - https://www.scopus.com/pages/publications/85043460823

U2 - 10.1515/anly-2017-0006

DO - 10.1515/anly-2017-0006

M3 - Article

AN - SCOPUS:85043460823

SN - 0174-4747

VL - 38

SP - 47

EP - 62

JO - Analysis (Germany)

JF - Analysis (Germany)

IS - 1

ER -

Inequalities of Hardy type and generalizations on time scales

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this