On the Estimation of Strong Means of Fourier Series

  • N. L. Pachulia

Abstract

We study problem of (λ,φ) -strong summation of number series by the regular method λ with power summation of the function φ. The accumulated results are extended to the case of Fourier expansions in trigonometric functions fϵLp,p>1, where C is the set of 2π-periodic continuous functions. Some results are also obtained for the estimation of strong means of the method λ in Lp,p>1, at the Lebesgue point x of the function f under certain additional conditions in the case where the function φ tends to infinity as u faster than the exponential function exp(βu)1,β>0.
Published
25.06.2015
How to Cite
Pachulia, N. L. “On the Estimation of Strong Means of Fourier Series”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 67, no. 6, June 2015, pp. 809–819, https://umj.imath.kiev.ua/index.php/umj/article/view/2023.
Section
Research articles