Results 41 to 50 of about 64,486 (162)

Mean value theorems for some linear integral operators

Electronic Journal of Differential Equations, 2009
In this article we study some mean value results involving linear integral operators on the space of continuous real-valued functions defined on the compact interval [0,1].
Cezar Lupu, Tudorel Lupu
doaj  

An Extension of the Mean Value Theorem

The Mathematical Intelligencer
To appear in ''The Mathematical Intelligencer''
openaire   +2 more sources

Cauchy type generalizations of holomorphic mean value theorems

Electronic Journal of Differential Equations, 2012
We extend the results on the Mean Value Theorem obtained by Flett, Myers, Sahoo, Cakmak and Tiryaki to holomorphic functions.
Anugraha Nidhi Mohapatra
doaj  

An Error Compensation Method for Improving the Properties of a Digital Henon Map Based on the Generalized Mean Value Theorem of Differentiation. [PDF]

Entropy (Basel), 2021
Deng Y, Shi Y.
europepmc   +1 more source

Observer Design for RIP Stability Using Takagi-Sugeno Fuzzy Model and Mean Value Theorem

Journal of Applied Science and Engineering
This paper presents an observer design for the Rotary Inverted Pendulum (RIP) system using the Takagi-Sugeno (T-S) fuzzy model and the mean value theorem.
Quy-Thinh Dao, Bao-Trung Dong, Thi-Van-Anh Nguyen   +2 more
doaj   +1 more source

On a sum analogous to Dedekind sum and its mean square value formula

International Journal of Mathematics and Mathematical Sciences, 2002
The main purpose of this paper is using the mean value theorem of Dirichlet L-functions to study the asymptotic property of a sum analogous to Dedekind sum, and give an interesting mean square value formula.
Zhang Wenpeng
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 Study on Some Fundamental Properties of Continuity and Differentiability of Functions of Soft Real Numbers

Advances in Fuzzy Systems, 2018
We introduce a new type of functions from a soft set to a soft set and study their properties under soft real number setting. Firstly, we investigate some properties of soft real sets.
Ramkrishna Thakur, S. K. Samanta
doaj   +1 more source

Visualization techniques for proofs: Implications for enhancing conceptualization and understanding in mathematical analysis

Journal of Honai Math
Visual images are frequently utilized to elucidate concepts in general mathematics and geometry; however, their application in mathematical analysis remains uncommon. This paper demonstrates how visual imagery can enhance the proof of certain theorems in
Jonatan Muzangwa, Ugorji Ogbonnaya
doaj   +1 more source

A robust collocation method for time fractional PDEs based on mean value theorem and cubic B-splines

Partial Differential Equations in Applied Mathematics
This paper explains and applies a numerical technique utilizing the cubic B-spline functions and the mean value theorem (MVT) to solve a general time fractional partial differential equation (FPDE).
Adel R. Hadhoud, Fatma M. Gaafar, Faisal E. Abd Alaal, Ayman A. Abdelaziz, Salah Boulaaras, Taha Radwan   +5 more
doaj   +1 more source