Title of article :
Some new integral inequalities for Lipschitzian functions
Author/Authors :
İşcana, İmdat Department of Mathematics - Sciences and Arts Faculty - Giresun University, Güre Campus, Turkey , Kadakala, Mahir Department of Mathematics - Sciences and Arts Faculty - Giresun University, Güre Campus, Turkey , Aydın, Alper Instutite of Sciences -Giresun University, Güre Campus, Turkey
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
Journal title :
International Journal of Optimization and Control: Theories and Applications
