Mean-value type equalities with interchanged function and derivative

• Autorzy: Matkowski J.
• Języki publikacji: EN

Abstrakty

EN

According to a new mean value-theorem, if a func¬tion f satisfies the classical conditions ensuring the existence and uniqueness of Lagrange’s mean, then there also exists a unique mean M such that ...[wzór]. The main result gives necessary and sufficient conditions for the equality ...[wzór] The relevant equality for the Lagrange mean-value theorem is also considered.

Słowa kluczowe

EN

mean value theorem; mean

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2011
• Tom: Nr 47
• Strony: 19--27
• Opis fizyczny: Bibliogr. 2 poz.

Twórcy

autor

Matkowski J.

• Faculty of Mathematics Computer Science and Econometric University of Zielona G ora Podg orna 50, PL-65246 Zielona G ora, Poland and Institute of Mathematics Silesian University Bankowa 14, PL-42007 Katowice, Poland

Bibliografia

• [1] Matkowski J., A mean-value theorem and its applications, J. Math. Anal. Appl., 373(2011), 227-234.
• [2] Matkowski J., Power means generated by some mean-value theorems, Proc. Amer. Math. Soc., 139(2011), 3601-3610.