2011
DOI: 10.1155/2011/265316
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Some Opial‐Type Inequalities on Time Scales

Abstract: We will prove some dynamic inequalities of Opial type on time scales which not only extend some results in the literature but also improve some of them. Some discrete inequalities are derived from the main results as special cases.

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Cited by 17 publications
(8 citation statements)
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“…Next in the following, we will apply some Opial type inequalities obtained by Beesack and Das [8] (see also [31]) to prove some new inequalities of Hardy's types with two different weighted functions. These inequalities are presented in the following theorems.…”
Section: Resultsmentioning
confidence: 99%
“…Next in the following, we will apply some Opial type inequalities obtained by Beesack and Das [8] (see also [31]) to prove some new inequalities of Hardy's types with two different weighted functions. These inequalities are presented in the following theorems.…”
Section: Resultsmentioning
confidence: 99%
“…In [13], the author generalized (5) and proved some new dynamic inequalities with two weight functions η and ζ . In particular, it was proved that, if η and ζ are non-negative functions on [a, b] T such that…”
Section: Introductionmentioning
confidence: 99%
“…Our aim in this paper is prove some new fractional dynamic inequalities of Opial's type on time scales which contain the classical Opial dynamic inequalities proved in [24]. The paper is divided into two sections.…”
Section: Introductionmentioning
confidence: 99%