THE HADAMARD TYPE INEQUALITIES FOR m−CONVEX FUNCTIONS

Abstract

In this paper, we obtained some new Hadamard-Type inequalitiesfor functions whose derivatives absolute values are m−convex. Some applications to special means of real numbers are given

Keywords

• Hermite-Hadamard’s inequality,m−Convex,H¨older inequality,Powermean inequality

References

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9. ATAT ¨URK UNIVERSITY, K. K. EDUCATION FACULTY, DEPARTMENT OF MATH
10. EMATICS,25240, CAMPUS, ERZURUM, TURKEY E-mail address: [e-mail] GRADUATE SCHOOL OF NATURAL AND APPLIED SCIENCES, A ˘GRI ˙IBRAH˙IM
11. C¸ EC¸ EN UNIVERSITY, A ˘GRI, TURKEY E-mail address: [e-mail] A ˘GRI ˙IBRAH˙IM C¸ EC¸ EN UN˙IVERSITY, FACULTY OF SCIENCE AND ARTS, DE
12. PARTMENT OF MATHEMATICS, 04100, CAMPUS, A ˘GRI, TURKEY E-mail address: [e-mail]