Some refinements of hermite-hadamard inequality and an open problem
نویسندگان
چکیده
منابع مشابه
Some Refinements of Hermite-hadamard Inequality and an Open Problem
We presented here a refinement of Hermite-Hadamard inequality as a linear combination of its end-points. The problem of best possible constants is closely connected with well known Simpson’s rule in numerical integration. It is solved here for a wide class of convex functions, but not in general. Some supplementary results are also given.
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Keywords: Hermite–Hadamard inequalities Jensen's inequality Xiao–Srivastava–Zhang–Pečarić–Svrtan–Jensen type inequalities Refinements and extensions Convex functions a b s t r a c t The main object of this paper is to give several refinements and extensions of the Hermite–Hadamard and Jensen inequalities in n variables. Relevant connections of the results presented here and the various inequali...
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In this paper, a new inequality for generalized convex functions which is related to the left side of generalized Hermite-Hadamard type inequality is obtained. Some applications for some generalized special means are also given.
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Recently, new developments of the theory and applications of dynamic derivatives on time scales were made. The study provides an unification and an extension of traditional differential and difference equations and, in the same time, it is a unification of the discrete theory with the continuous theory, from the scientific point of view. Moreover, it is a crucial tool in many computational and ...
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ژورنال
عنوان ژورنال: Kragujevac Journal of Mathematics
سال: 2018
ISSN: 1450-9628,2406-3045
DOI: 10.5937/kgjmath1803349s