An extension of a theorem of flett

• Autorzy: Pawlikowska I.
• Języki publikacji: EN

Abstrakty

EN

In the present paper we deal with Flett's Mean Value Theorem for n times differentiable functions. We prove Flett's Formula on a base of the Taylor Theorem.

Słowa kluczowe

EN

Flett's Formula; Taylor Theorem

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 1999
• Tom: Vol. 32, nr 2
• Strony: 281--286
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Pawlikowska I.

• Institute of Mathematics, Silesian University, ul. Bankowa 14, 40-007 Katowice, Poland

Bibliografia

• [1] T. M. Flett, A mean value theorem, Math. Gazette 42 (1958), 38-39.
• [2] T. V. Lakshminarasimhan, A mean value theorem—an extension, Amer. Math. Monthly 73 (1966), 862-863.
• [3] T. Riedel, R. C. Davitt, R. C. Powers and P. K. Sahoo, Flett's mean value theorem for holomorphic functions, submitted.
• [4] T. Riedel and M. Sablik, Characterizing polynomial functions by a mean value property, Publ. Math. Debrecen 52 (1998), 597-610.
• [5] T. Riedel and M. Sablik, On a functional equation related to a generalization of Flett's mean value theorem, submitted.
• [6] T. Riedel and P. K. Sahoo, Mean value theorems and functional equations, to be published by World Scientific.
• [7] D. H. Trahan, A new type of mean value theorem, Math. Magazine 39 (1966), 264-268.
• [8] S. G. Wayment, An integral mean value theorem, Math. Gazette 5 (1970), 300-301.