Results 1 to 10 of about 46 (43)

On Generalized Flett's Mean Value Theorem

International Journal of Mathematics and Mathematical Sciences, 2012
We present a new proof of generalized Flett's mean value theorem due to Pawlikowska (from 1999) using only the original Flett's mean value theorem. Also, a Trahan-type condition is established in general case.
Jana Molnárová
doaj   +2 more sources

Flett's mean value theorem in topological vector spaces

International Journal of Mathematics and Mathematical Sciences, 2001
We prove some generalizations of Flett's mean value theorem for a class of Gateaux differentiable functions f:X→Y, where X and Y are topological vector spaces.
Robert C. Powers, Thomas Riedel, Prasanna K. Sahoo   +2 more
doaj   +2 more sources

On a functional equation related to a generalization of Flett's mean value theorem

International Journal of Mathematics and Mathematical Sciences, 2000
In this paper, we characterize all the functions that attain their Flett mean value at a particular point between the endpoints of the interval under consideration. These functions turn out to be cubic polynomials and thus, we also characterize these.
T. Riedel, Maciej Sablik
doaj   +2 more sources

A Cauchy-type generalization of Flett's theorem

Demonstratio Mathematica, 2021
We prove a Cauchy-type generalization of Flett’s theorem and note its geometric interpretations. Several other mean value theorems extending further the result, which involve both real and complex functions, are also proved.
Markov Lubomir
doaj   +1 more source

Some variants of Lagrange’s mean value theorem

Selecciones Matemáticas, 2020
In this note we prove some variants of Lagrange’s mean value theorem. The main tools to prove these results are some elementary auxiliary functions.
German Lozada-Cruz
doaj   +1 more source

Hyers–Ulam Stability of Two-Dimensional Flett’s Mean Value Points

Mathematics, 2019
If a differentiable function f : [ a , b ] → R and a point η ∈ [ a , b ] satisfy f ( η ) − f ( a ) = f ′ ( η ) ( η − a ) , then the point η is called a Flett ...
Soon-Mo Jung, Ji-Hye Kim, Young Woo Nam
doaj   +1 more source

Some special cases on Stolarsky’s means

Ratio Mathematica
In this paper we observe that one-parameter Stolarsky’s means (SM) are deduced from both the Mean Value Theorem for derivatives (MVTD) and the Mean Value Theorem for definite integrals (MVTI), and we study their elementary properties as the parameter ...
Cesare Palmisani
doaj   +1 more source

A new conservation theorem

Journal of Mathematical Analysis and Applications, 2007
Nail H Ibragimov
exaly  

The virial theorem and stress calculation in molecular dynamics

Journal of Chemical Physics, 1979
D H Tsai, Tsai D H
exaly  

Arrow’s theorem and the Gibbard-Satterthwaite theorem: a unified approach

Economics Letters, 2001
Philip J Renȳ
exaly