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- W3043132496 abstract "In this paper, we establish 5 kinds of integral Opial-type inequalities in (p, q)-calculus by means of H?lder's inequality, Cauchy inequality, an elementary inequality and some analysis technique. First, we investigated the Opial inequalities in (p, q)-calculus involving one function and its (p, q) derivative. Furthermore, Opial inequalities in (p, q)-calculus involving two functions and two functions with their (p, q) derivatives are given. Our results are (p, q)-generalizations of some known inequalities, such as Opial-type integral inequalities and (p, q)-Wirtinger inequality." @default.
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- W3043132496 date "2020-01-01" @default.
- W3043132496 modified "2023-09-27" @default.
- W3043132496 title "Some Opial type inequalities in (<i>p, q</i>)-calculus" @default.
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- W3043132496 doi "https://doi.org/10.3934/math.2020377" @default.
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