Results 31 to 40 of about 64,486 (162)
Some Variants of Wayment's Mean Value Theorem for Integrals
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
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Some new integral inequalities via variant of Pompeii's mean value theorem [PDF]
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
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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
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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
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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
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On a functional equation related to a generalization of Flett's mean value theorem
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
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The definite integrals of 2- refined neutrosophic functions and its properties [PDF]
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
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A Hybrid Mean Value Involving Dedekind Sums and the Generalized Kloosterman Sums
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
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Some fundamental theorems in the interval-valued functions and time scales [PDF]
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
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On some inequalities relative to the Pompeiu–Chebyshev functional
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
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