Approximation of fractional-order integrals by algebraic polynomials. I

  • V. P. Motornyi

Abstract

For functionsf(x) representable by an integral operator of a special form, we investigate the behavior of the second difference Δ h 2 f(x)=f(x+h)-2f(x)+f(x-h),h>0, depending on the location of a pointx on the segment [0,1].
Published
25.05.1999
How to Cite
MotornyiV. P. “Approximation of Fractional-Order Integrals by Algebraic Polynomials. I”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 51, no. 5, May 1999, pp. 603–613, https://umj.imath.kiev.ua/index.php/umj/article/view/4648.
Section
Research articles