Approximation of fractional-order integrals by algebraic polynomials. I

• Datum: 1999
• Hauptverfasser: Motornyi, V. P., Моторный, В. П.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1999
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4648
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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].