Turkish Journal of Mathematics
DOI
10.3906/mat-1910-77
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
First Page
656
Last Page
661
Recommended Citation
ERDEN, SAMET
(2020)
"Wirtinger type inequalities for higher order differentiable functions,"
Turkish Journal of Mathematics: Vol. 44:
No.
3, Article 3.
https://doi.org/10.3906/mat-1910-77
Available at:
https://journals.tubitak.gov.tr/math/vol44/iss3/3
