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New Weighted Opial-Type Inequalities on Time Scales for Convex Functions

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2020

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Matematik
Bölümümüz, bilim ve sanayi için gerekli modern bilgilere sahip iş gücünü üretmeyi hedeflemektedir.

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Abstract

Our work is based on the multiple inequalities illustrated in 1967 by E. K. Godunova and V. I. Levin, in 1990 by Hwang and Yang and in 1993 by B. G. Pachpatte. With the help of the dynamic Jensen and Holder inequality, we generalize a number of those inequalities to a general time scale. In addition to these generalizations, some integral and discrete inequalities will be obtained as special cases of our results.

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Eldeeb, Ahmed/0000-0003-2822-4092

Keywords

Opial-Type Inequality, Dynamic Inequality, Convexity, Time Scale, 26D10, 26D15, 26E70, 34A40

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El-Deeb, Ahmed A.; Baleanu, Dumitru (2020). "New Weighted Opial-Type Inequalities on Time Scales for Convex Functions", Symmetry-Basel, Vol. 12, No. 5.

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Symmetry

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12

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5

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