Some new integral inequalities for Lipschitzian functions

İmdat İşcan, Mahir Kadakal, Alper Aydın

Abstract


This paper is about obtaining some new type of integral inequalities for functions from the Lipschitz class. For this, some new integral inequalities related to the differences between the two different types of integral averages for Lipschitzian functions are obtained. Moreover, applications for some special means as arithmetic, geometric, logarithmic, -logarithmic, harmonic, identric are given.


Keywords


Integral inequalities; Lipschitzian function; Hermite-Hadamard inequality; Integral means

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References


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DOI: http://dx.doi.org/10.11121/ijocta.01.2018.00565

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Copyright (c) 2018 İmdat İşcan, Mahir Kadakal, Alper Aydın

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