Results 31 to 38 of about 47 (38)

Flett’s theorem with infinite derivatives

European Journal of Mathematics, 2022
In this paper, the Flett mean value theorem is extended to continuous everywhere differentiable functions whose derivative may be infinite at some points. The following is the main result obtained there. Theorem. Let \(F:[a,b]\to R\) be a continuous function that has a (possibly infinite) derivative at any point of \([a,b]\), and satisfies \(F'(a)=F'(b)
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A Flett Theorem for the Riemann–Stieltjes Integral

Results in Mathematics, 2023
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A Study on Flett’s Mean Value Theorem

Kaladarpan कलादर्पण, 2023
The aim of this study is to evaluate the parallels between the results of Flett's Mean Value Theorem, Lagrange's Mean Value Theorem, and Rolle's Theorem, as well as their geometrical significance. It also covers Thomas M. Flett's 1958 Mean Value Theorem of Differential and Integral Calculus and its various extensions.
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Flett's Mean Value Theorem for Holomorphic Functions

Mathematics Magazine, 1999
(1999). Flett's Mean Value Theorem for Holomorphic Functions. Mathematics Magazine: Vol. 72, No. 4, pp. 304-307.
R. M. Davitt, R. C. Powers, T. Riedel, P. K. Sahoo   +3 more
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Some new mean value theorems of Flett type

International Journal of Mathematical Education in Science and Technology, 2014
In this paper, we give some new mean value theorems, which are generalizations of Flett, Myers and Tong's theorems.
Chengguan Tan, Songxiao Li
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A Different Version of Flett's Mean Value Theorem and an Associated Functional Equation

Acta Mathematica Sinica, English Series, 2004
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Riedel, Thomas, Sablik, Maciej
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On extensions of some theorems of Flett. II

Acta Mathematica Hungarica, 1994
The present paper is a continuation of \textit{L. Leindler} [Acta Math. Hung. 64, No. 3, 269-283 (1994; Zbl 0805.40006)]and extends some integral inequalities of \textit{T. M. Flett} [Proc. Lond. Math. Soc., III. Ser. 8, 357-387 (1958; Zbl 0109.045)]. A typical result is the following: If \(\lambda\geq k\geq 1\), \(\alpha> \max(1/k, -1/k)\), \(\alpha_ ...
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On Flett's mean value theorem

International Journal of Mathematical Education in Science and Technology, 2004
Let f(x) be a function continous on [a,b] and differentiable on (a,b). If then there is a number c∈ (a,b) such that Therefore M(f)=I(f) is a sufficient condition for Flett's mean value theorem.
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