Inequalities of Hermite–Hadamard type for functions whose derivatives in absolute value are convex with applications | Zendy

Muhammad Amer Latif | Zendy

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Inequalities of Hermite–Hadamard type for functions whose derivatives in absolute value are convex with applications

Author(s) -

Muhammad Amer Latif

Publication year - 2014

Publication title -

arab journal of mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.353

H-Index - 11

eISSN - 2588-9214

pISSN - 1319-5166

DOI - 10.1016/j.ajmsc.2014.01.002

Subject(s) - mathematics , hadamard transform , midpoint , hermite polynomials , convex function , type (biology) , regular polygon , mathematical analysis , pure mathematics , combinatorics , discrete mathematics , geometry , ecology , biology

In this paper some new Hadamard-type inequalities for functions whose derivatives in absolute values are convex are established. Some applications to special means of real numbers are given. Finally, we also give some applications of our obtained results to get new error bounds for the sum of the midpoint and trapezoidal formulae

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