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2. SOME NEW HERMITE-HADAMARD'S TYPE FRACTIONAL INTEGRAL INEQUALITIES.

Author

DRAGOMIR, SEVER S., IQBAL BHATTI, MUHAMMAD, IQBAL, MUHAMMAD, and MUDDASSAR, MUHAMMAD

Subjects
*FRACTIONAL integrals, *MATHEMATICAL inequalities, *MATHEMATICAL functions, *DERIVATIVES (Mathematics), *NUMERICAL analysis
Abstract

In this paper, we study some new inequalities of Hermite-Hadamard's type fractional integral inequalities for functions whose absolute values of second derivatives are convex and concave . The obtained results generalize the existing Hermite-Hadamard type integral inequalities and their application in special means and numerical integration. [ABSTRACT FROM AUTHOR]

Published
2015

3. SOME NEW INTEGRAL INEQUALITIES OF THE TYPE OF HERMITE-HADAMARD'S FOR THE MAPPINGS WHOSE ABSOLUTE VALUES OF THEIR DERIVATIVE ARE CONVEX.

Author

IQBAL, MUHAMMAD, IQBAL BHATTI, MUHAMMAD, and MUDDASSAR, MUHAMMAD

Subjects
*INTEGRAL inequalities, *HERMITE polynomials, *MATHEMATICAL mappings, *LEAST absolute deviations (Statistics), *DERIVATIVES (Mathematics), *CONVEX functions, *NUMERICAL analysis, *MATHEMATICAL formulas
Abstract

In this paper, We establish various inequalities for some differentiable mappings that are linked with the illustrious Hermite-Hadamard integral inequality for mappings whose absolute values of derivatives are convex. The new integral inequalities are then applied to some special means and numerical integration to get some better estimate than some already presented. [ABSTRACT FROM AUTHOR]

Published
2014

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