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2010 SOME WEIGHTED OPIAL-TYPE INEQUALITIES ON TIME SCALES
H. M. Srivastava, Kuei-Lin Tseng, Shio-Jenn Tseng, Jen-Chieh Lo
Taiwanese J. Math. 14(1): 107-122 (2010). DOI: 10.11650/twjm/1500405730

Abstract

Motivated essentially by several recent investigations which claimed to have generalized, improved and extended such classical inequalities as the well-known Opial's inequality, here we establish some general weighted Opial-type inequalities on time scales. We also provide counterexamples, corrections and modifications of the aforementioned recent claims by Wong et al. [Taiwanese J. Math., 12 (2008), 463-471].

Citation

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H. M. Srivastava. Kuei-Lin Tseng. Shio-Jenn Tseng. Jen-Chieh Lo. "SOME WEIGHTED OPIAL-TYPE INEQUALITIES ON TIME SCALES." Taiwanese J. Math. 14 (1) 107 - 122, 2010. https://doi.org/10.11650/twjm/1500405730

Information

Published: 2010
First available in Project Euclid: 18 July 2017

zbMATH: 1190.26027
MathSciNet: MR2603445
Digital Object Identifier: 10.11650/twjm/1500405730

Subjects:
Primary: 26-99 , 26A15 , 26D15

Keywords: $rd$-continuous functions , Absolute continuity , delta differentiability , extremal functions , extremal functions , Hölder's inequality , Opial's inequality , Time scales

Rights: Copyright © 2010 The Mathematical Society of the Republic of China

Vol.14 • No. 1 • 2010
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