A Simple Wide Range Approximation of Symmetric Binomial Distribution by Tamás Szabados

“…The result clearly shows how one has to modify the classical de Moivre–Laplace normal approximation in order to give an estimate at the tail as well as to minimize the relative error.…”
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Existence Theorem for Noninstantaneous Impulsive Evolution Equations by Gul I Hina Aslam, Amjad Ali, Maimona Rafiq

“…In this note, the variational form of the classical Lax–Milgram theorem is used for the divulgence of variational structure of the first-order noninstantaneous impulsive linear evolution equation. …”
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A shadow Markov equation by Bonin, Nathan, Ovsienko, Valentin

“…We introduce an analogue of the classical Markov equation that involves dual numbers $a+\alpha \varepsilon $ with $\varepsilon ^2=0$. …”
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Statistical Convergence in Function Spaces by Agata Caserta, Giuseppe Di Maio, Ljubiša D. R. Kočinac

“…We study statistical versions of several classical kinds of convergence of sequences of functions between metric spaces (Dini, Arzelà, and Alexandroff) in different function spaces. …”
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On an Inverse Boundary Value Problem for a Fourth Order Elliptic Equation with Integral Condition by Yashar T. Mehraliyev

“…Further, using these facts, the existence and uniqueness of the classic solution of the initial problem are proved.…”
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New solvability condition of 2-d nonlocal boundary value problem for Poisson’s operator on rectangle by Dovlet M. Dovletov

“…New solvability conditions are obtained in respect of existence, uniqueness and a priori estimate of the classical solution. Second order of accuracy difference scheme is presented.…”
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Some New Identities Related to Dedekind Sums Modulo a Prime by Jiayuan Hu

“…The main purpose of this article is to use some identities of the classical Gauss sums, the properties of character sums, and Dedekind sums (modulo an odd prime) to study the computational problem of one-kind mean values related to Dedekind sums and give some interesting identities for them.…”
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Schauder Basis, Separability, and Approximation Property in Intuitionistic Fuzzy Normed Space by M. Mursaleen, V. Karakaya, S. A. Mohiuddine

“…We also display here some interesting examples by using classical sequence spaces ℓ𝑝(1≤𝑝≤∞).…”
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One-Pot Synthesis of 3,4-Dihydropyrimidin-2(1H)-ones Catalyzed by Chlorosulfonic Acid by Jin Tong-Shou, Zhao Ying, Liu Li-Bin, Li Tong-Shuang

“…An efficient synthesis of 3,4-dihydropyrimidin-2-ones (DHPMs) from the aldehydes, β-ketoesters and urea in ethanol using chlorosulfonic acid as the catalyst is described. Compared with the classical Biginelli reaction conditions, this method has the advantage of excellent yields and short reaction time.…”
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Approximation Theorems for Generalized Complex Kantorovich-Type Operators by N. I. Mahmudov, M. Kara

“…In particular, it is proved that for functions analytic in , , the rate of approximation by the q-Kantorovich operators () is of order versus for the classical Kantorovich operators.…”
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Boundedness of p-Adic Singular Integrals and Multilinear Commutator on Morrey-Herz Spaces by Yanlong Shi, Li Li, Zhonghua Shen

“…In this paper, we establish the boundedness of classical p-adic singular integrals on Morrey-Herz spaces, as well as the boundedness of multilinear commutator generated by p-adic singular integral operators and Lipschitz functions or by p-adic singular integral operators and λ-central BMO functions.…”
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Multivariable dimension polynomials and new invariants of differential field extensions by Alexander B. Levin

“…We introduce a special type of reduction in the ring of differential polynomials and develop the appropriate technique of characteristic sets that allows to generalize the classical Kolchin's theorem on differential dimension polynomial and find new differential birational invariants of a finitely generated differential field extension.…”
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On the Eneström–Kakeya theorem for quaternionic polynomials by Mir, Abdullah, Ahmad, Abrar

“…We obtain ring shaped regions of Eneström–Kakeya type for the zeros of these polynomials and also extend some classical results from the complex to quaternionic setting.…”
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Generalized Grand Lebesgue Spaces Associated to Banach Function spaces by Alireza Bagheri Salec, Seyyed Mohammad Tabatabaie, Alaa Mahdi Talib Albeka

“…In this paper we introduce the class of grand Lebesgue spaces associated to a Banach function space $X$ by replacing the role of the $L^1$-norm by the norm $\|\cdot\|_X$ in the classical construction of the generalized grand Lebesgue spaces. …”
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Some analogues of Knopp’s core theorem by I. J. Maddox

“…Such inequalities being analogues of the classical theorem of Knopp on the core of a sequence. …”
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Existence of the Mild Solutions for Impulsive Fractional Equations with Infinite Delay by Jaydev Dabas, Archana Chauhan, Mukesh Kumar

“…The existence and uniqueness of a mild solution is established using a solution operator and the classical fixed-point theorems.…”
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Taking decision general theory and its application in the medical assistance field (I). by Luis Alberto Corona Martínez

“…This paper analyses the classic (rational) and behavioural theories in decision making.…”
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Regularizing Model for the 2D MHD Equations with Zero Viscosity by Ensil Kang, Jihoon Lee

“…We provide an approximating system to the equations and prove global-in-time existence of classical solution to this approximating system. By using approximating system, a priori estimates for the equations can be justified.…”
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Multiple Solutions for Generalized Asymptotical Linear Hamiltonian Systems Satisfying Bolza Boundary Conditions by Yuan Shan, Baoqing Liu

“…We classify the linear Hamiltonian systems by the index theory and obtain the existence and multiplicity of solutions for the Hamiltonian systems, based on an application of the classical symmetric mountain pass lemma.…”
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Remarks on quasilinear evolutions equations by James E. Munoz Rivera

“…In this paper we study the existence result of classical solutions for the quasilinear equation utt−Δu−M(∫Ω|∇u|2dx)Δutt=f, with initial data u(0)=u0, u(1)=u1 and homogeneous boundary conditions.…”
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