Results 31 to 40 of about 64,486 (162)

Some Variants of Wayment's Mean Value Theorem for Integrals

open access: yesSelecciones Matemáticas
This note deals with some variants of Wayment’s Mean Value Theorem for integrals. Our approach is rather elementary and does not use advanced techniques from analysis. The simple auxiliary functions were used to prove the results.
German Lozada-Cruz
doaj   +1 more source

Some new integral inequalities via variant of Pompeii's mean value theorem [PDF]

open access: yesMathematica Moravica, 2015
The main of this paper is to establish an inequality providing some better bounds for integral mean by using a mean value theorem. Our results generalize the results of Ahmad et. al in [8].
Sarikaya Zeki Mehmet
doaj  

Numerical Solutions of the Mean‐Value Theorem: New Methods for Downward Continuation of Potential Fields

open access: yesGeophysical Research Letters, 2018
Downward continuation can enhance small‐scale sources and improve resolution. Nevertheless, the common methods have disadvantages in obtaining optimal results because of divergence and instability.
Chong Zhang   +3 more
doaj   +1 more source

Numerical treatment of the generalized time-fractional Huxley-Burgers’ equation and its stability examination

open access: yesDemonstratio Mathematica, 2021
In this paper, we show how to approximate the solution to the generalized time-fractional Huxley-Burgers’ equation by a numerical method based on the cubic B-spline collocation method and the mean value theorem for integrals.
Hadhoud Adel R.   +3 more
doaj   +1 more source

Observer Design for Takagi–Sugeno Fuzzy Systems with Unmeasurable Premise Variables Based on Differential Mean Value Theorem

open access: yesEngineering Proceedings, 2023
In this work, we present the design of an observer for Takagi–Sugeno fuzzy systems with unmeasurable premise variables. Moving away from Lipschitz-based and L2 attenuation-based methods—which fall short in eliminating the mismatching terms in the ...
Wail Hamdi   +2 more
doaj   +1 more source

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

open access: yesInternational 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   +1 more source

The definite integrals of 2- refined neutrosophic functions and its properties [PDF]

open access: yesNeutrosophic Sets and Systems
This article aims to study the definite integrals of 2- refined neutrosophic functions and its properties. The definite integrals of 2- refined neutrosophic functions are defined in this study, and a set of theories are presented, including the ...
Yaser Ahmad Alhasan   +2 more
doaj   +1 more source

A Hybrid Mean Value Involving Dedekind Sums and the Generalized Kloosterman Sums

open access: yesJournal of Mathematics, 2021
In this paper, we use the mean value theorem of Dirichlet L-functions and the properties of Gauss sums and Dedekind sums to study the hybrid mean value problem involving Dedekind sums and the general Kloosterman sums and give an interesting identity for ...
Xiaowei Pan, Xiaoyan Guo
doaj   +1 more source

Some fundamental theorems in the interval-valued functions and time scales [PDF]

open access: yesJournal of Mahani Mathematical Research
This research investigates the topological structure of the space of interval-valued functions equipped with an order relation defined by open balls. The aim is to establish analogues of fundamental theorems in calculus, including Bolzano’s theorem, the ...
Tahere Shokoohi   +2 more
doaj   +1 more source

On some inequalities relative to the Pompeiu–Chebyshev functional

open access: yesJournal of Inequalities and Applications, 2020
In this paper we study the utility of the functional Pompeiu–Chebyshev in some inequalities. Some results obtained by Alomari will be generalized regarding inequalities with Pompeiu–Chebyshev type functionals, in which linear and positive functionals ...
Daniel Ianoşi, Adonia-Augustina Opriş
doaj   +1 more source

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