Littlewood and Bennett Inequalities on Time Scales

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

doi:10.1007/s00009-014-0454-6

Littlewood and Bennett Inequalities on Time Scales

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

Mathematics

Mansoura University
Texas A&M University-Kingsville

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

6 Citations (Scopus)

Abstract

In this paper, we prove some new dynamic inequalities on time scales. These inequalities contain some discrete inequalities proved by Littlewood and Bennett. The main results will be proved using the chain rule, Holder’s inequality and a new Hardy type inequality on time scales.

Original language	English
Pages (from-to)	605-619
Number of pages	15
Journal	Mediterranean Journal of Mathematics
Volume	12
Issue number	3
DOIs	https://doi.org/10.1007/s00009-014-0454-6
Publication status	Published - 8 Jul 2015

Keywords

26A15
26D10
26D15
34A40
34N05
39A13

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Saker, SH,O'Regan, D,Agarwal, RP

Access to Document

10.1007/s00009-014-0454-6

Cite this

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title = "Littlewood and Bennett Inequalities on Time Scales",

abstract = "In this paper, we prove some new dynamic inequalities on time scales. These inequalities contain some discrete inequalities proved by Littlewood and Bennett. The main results will be proved using the chain rule, Holder{\textquoteright}s inequality and a new Hardy type inequality on time scales.",

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T1 - Littlewood and Bennett Inequalities on Time Scales

AU - Saker, S. H.

AU - O’Regan, D.

AU - Agarwal, R. P.

PY - 2015/7/8

Y1 - 2015/7/8

N2 - In this paper, we prove some new dynamic inequalities on time scales. These inequalities contain some discrete inequalities proved by Littlewood and Bennett. The main results will be proved using the chain rule, Holder’s inequality and a new Hardy type inequality on time scales.

AB - In this paper, we prove some new dynamic inequalities on time scales. These inequalities contain some discrete inequalities proved by Littlewood and Bennett. The main results will be proved using the chain rule, Holder’s inequality and a new Hardy type inequality on time scales.

KW - 26A15

KW - 26D10

KW - 26D15

KW - 34A40

KW - 34N05

KW - 39A13

UR - https://www.scopus.com/pages/publications/84938750138

U2 - 10.1007/s00009-014-0454-6

DO - 10.1007/s00009-014-0454-6

M3 - Article

SN - 1660-5446

VL - 12

SP - 605

EP - 619

JO - Mediterranean Journal of Mathematics

JF - Mediterranean Journal of Mathematics

IS - 3

ER -

Littlewood and Bennett Inequalities on Time Scales

Abstract

Keywords

Authors (Note for portal: view the doc link for the full list of authors)

Access to Document

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