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.
Wirtinger inequality, Taylor series
"Wirtinger type inequalities for higher order differentiable functions,"
Turkish Journal of Mathematics: Vol. 44:
3, Article 3.
Available at: https://journals.tubitak.gov.tr/math/vol44/iss3/3