Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1910-77
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
