Wirtinger type inequalities for higher order differentiable functions

Authors : Samet Erden

Pages : 656-661

Doi:10.3906/mat-1910-77

View : 9 | Download : 6

Publication Date : 9999-12-31

Article Type : Makaleler

Abstract :Inthiswork,we establish a Wirtinger type inequality which gives the relation between the integral of square of its any order derivative via Taylor's formula. Then,we provide a similar inequality for mappings that are elements of Lr space with r > 1. Also, we indicate that special cases of these inequalities give some results presented in the earlier works.
Keywords : Wirtinger inequality, Taylor series