ON SHERMAN`S TYPE INEQUALITIES FOR n-CONVEX FUNCTION WITH APPLICATIONS

Authors : M. Adil KHAN, S. İvelic BRADANOVIC, J. PECARIC

Pages : 255-270

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Publication Date : 2016-10-01

Article Type : Research Paper

Abstract :New generalizations of Sherman`s inequality for convex functions of higher order are obtained by using Hermite`s interpolating polynomials and Green`s function. The Ostrowski and Gruss type bounds for the identity related to generalized Sherman`s inequality are established. Some applications are discussed.
Keywords : majorization, n convexity, Schur convexity, Sherman`s theorem, Hermite`s interpolating polynomial, Cebysev functional, Gruss type inequalities, Ostrowsky type inequalities, exponentially convex functions, log convex functions, means