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Start Over Author "Rauf, K." Topic convex functions
3 results on '"Rauf, K."'

1. Hardy-type Inequalities for Convex Functions.

Author

Anthonio, Y. O. and Rauf, K.

Subjects
*INTEGRAL inequalities, *MATHEMATICAL equivalence
Abstract

In this note, we obtain a new class of Hardy's integral inequalities by using a fairly elementary analysis. This result simplifies the proofs of some existing results and two possible constants are shown in the limit Hardy-type version. [ABSTRACT FROM AUTHOR]

Published
2021

2. Generalized Opial-Type Inequalities on Time Scales.

Author

Aribike, E. E. and Rauf, K.

Subjects
*CONVEX functions, *JENSEN'S inequality, *MATHEMATICAL equivalence
Abstract

Some dynamic inequalities of Opial-type inequalities are generalized through Jensen's and Hölder's inequalities for convex functions. In particular, Hua's and Rozanova's inequalities on time scales are refined. [ABSTRACT FROM AUTHOR]

Published
2021

3. RESULTS ON AN INTEGRAL INEQUALITY OF THE OPIAL- TYPE.

Author

RAUF, K. and ANTHONIO, Y. O.

Subjects
*INTEGRAL inequalities, *MATHEMATICAL inequalities, *OPIAL inequalities, *JENSEN'S inequality, *CONVEX functions
Abstract

We obtain integral inequalities which are Opial-type inequalities, mainly by using Jensen's inequality for the case of convex function. [ABSTRACT FROM AUTHOR]

Published
2017
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