A note on a Cauchy-type mean value theorem

• Autorzy: Ivan M.
• Języki publikacji: EN

Abstrakty

EN

We prove that a Cauchy-type mean value theorem [E. Wachnicki, Une variante du theoreme de Cauchy de la valeur moyenne, Demonstratio Math., 33 (4) (2000), 737-740] is a particular case of Flett's Mean Value Theorem [T. M. Flett, A mean value theorem, Math. Gazette 42 (1958), 38-39].

Słowa kluczowe

EN

mean value theorem; flett; Cauchy

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2002
• Tom: Vol. 35, nr 3
• Strony: 493--494
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Ivan M.

• Technical University of Cluj-Napoca, Department of Mathematics, Str. C. Daicoviciu 15, 3400 Cluj-Napoca, Romania

Bibliografia

• [1] T. M. Flett, A mean value theorem, Math. Gazette 42 (1958), 38-39.
• [2] M. Ivan, A mean value theorem in topological spaces (in Romanian), Itinerant Seminar on Functional Equations, Approximation and Convexity (Cluj-Napoca) (Elena Popoviciu, ed.), (1982), 145-149.
• [3] I. Pawlikowska, An extension of a theorem of Flett, Demonstratio Math. 32.2 (1999), 281-286.
• [4] P. K. Sahoo and T. Riedel, Mean Value Theorems and Functional Equations, World Scientific Publishing Co., NJ, 1998. CMP 1 692 936.
• [5] E. Wachnicki, Une variante du théorème de Cauchy de la valeur moyenne, Demonstratio Math. 33.4 (2000), 737-740.