Results 61 to 70 of about 486,669 (177)
This paper presents a comprehensive stability analysis of regularized Newton methods for solving monotone inclusion problems of the form 0∈Ax+Fx, where A is a maximal monotone operator and F is a Lipschitz continuous operator with bounded variation.
Boushra Abbas
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One-dimensional adhesion model for large scale structures
We discuss initial value problems and initial boundary value problems for some systems of partial differential equations appearing in the modelling for the large scale structure formation in the universe.
Kayyunnapara Thomas Joseph
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This paper investigates several Corrected Euler–Maclaurin-type inequalities for different function classes using Riemann–Liouville fractional integrals.
Hasan Kara +3 more
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Composing functions of bounded variation [PDF]
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A linear functional differential equation with distributions in the input
This paper studies the functional differential equation $$ dot x(t) = int_a^t {d_s R(t,s), x(s)} + F'(t), quad t in [a,b], $$ where $F'$ is a generalized derivative, and $R(t,cdot)$ and $F$ are functions of bounded variation. A solution is defined by the
Vadim Z. Tsalyuk
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Grüss–Ostrowski inequalities and bounded variation
In this note, we establish corresponding Grüss–Ostrowski-type inequalities for functions with bounded variation. As an application, we provide some estimates for the error in numerical integration rules and estimation for the cumulative distribution ...
Karol Gryszka
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Functions of bounded variation
The paper begins with a short survey of monotone functions. The functions of bounded variation are introduced and some basic properties of these functions are given. Finally the jump function of a function of bounded variation is defined.
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Decay analysis of bivariate Chebyshev coefficients for functions with limited regularity
The Chebyshev polynomial approximation is a useful tool to approximate smooth and non-smooth functions. In fact, for a sufficiently smooth function, the partial sum of Chebyshev series expansion provides optimal polynomial approximation.
Akansha
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Functions of Generalized Bounded Variation
This thesis is devoted to the study of different generalizations of the classical conception of a function of bounded variation. First, we study the functions of bounded p-variation introduced by Wiener in 1924. We obtain estimates of the total p-variation (1<p<∞) and other related functionals for a periodic function f in Lp([0,1]) in terms of ...
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Boundary blow-up solutions to semilinear elliptic equations with nonlinear gradient terms
In this article we study the blow-up rate of solutions near the boundary for the semilinear elliptic problem $$\displaylines{ \Delta u\pm |\nabla u|^q=b(x)f(u), \quad x\in\Omega,\cr u(x)=\infty, \quad x\in\partial\Omega, }$$ where $\Omega$ is a ...
Shufang Liu, Yonglin Xu
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