搜索结果: 31-45 共查到“知识库 线性算子理论”相关记录73条 . 查询时间(2.33 秒)
On distance distribution functions-valued submeasures related to aggregation functions
submeasure distribution function probabilistic metric space triangular norm aggregation function semi-copula lattice
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2011/9/13
Abstract: Probabilistic submeasures generalizing the classical (numerical) submeasures are introduced and discussed in connection with some classes of aggregation functions. A special attention is pai...
On generalized Flett's mean value theorem
Flett’s mean value theorem real function differentiability Taylor polynomial
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2011/9/13
Abstract: We present a new proof of generalized Flett's mean value theorem due to Pawlikowska (from Demonstratio Math. 1999) using only the original Flett's mean value theorem. Also, a Trahan-type con...
q-damped Oscillator and degenerate roots of constant coefficients q-difference ODE
q-damped Oscillator degenerate roots coefficients q-difference ODE
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2011/9/5
Abstract: The classical model of q-damped oscillator is introduced and solved in terms of Jackson q-exponential function for three different cases, under-damped, over-damped and the critical one. It i...
A unified treatment of ODEs under Osgood and Sobolev type conditions
DiPerna–Lions theory Sobolev regularity Osgood condition regular Lagrangian flow transport equation
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2011/9/5
Abstract: In this paper we prove the existence, uniqueness and regularity of the DiPerna--Lions flow generated by a vector field which is "almost everywhere Osgood continuous", following Crippa and de...
On Trilinear Oscillatory Integrals
Trilinear Oscillatory Integrals Classical Analysis and ODEs
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2011/9/5
Abstract: We examine a certain class of trilinear integral operators which incorporate oscillatory factors e^{iP}, where P is a real-valued polynomial, and prove smallness of such integrals in the pre...
Higher order Glaeser inequalities and optimal regularity of roots of real functions
Glaeser inequality absolutely continuous functions roots of real functions Holder continuous functions
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2011/9/6
Abstract: We prove a higher order generalization of Glaeser inequality, according to which one can estimate the first derivative of a function in terms of the function itself, and the Holder constant ...
Some integrals and series involving the Gegenbauer polynomials and the Legendre functions on the cut (-1,1)
Special functions Legendre functions Gegenbauer polynomials Fourier expansions
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2011/9/6
Abstract: We use the recent findings of Cohl [arXiv:1105.2735] and evaluate the principal and the residual values of the integral $\int_{-1}^{1}\mathrm{d}t\:(1-t^{2})^{\lambda-1/2}(x-t)^{-\kappa-1/2}C...
Standard $q$-Racah-Krall polynomials
Krall-type polynomials second order linear difference equation q-polynomials basic hypergeometric series
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2011/9/5
Abstract: In this paper the Krall-type polynomials obtained via the addition of two mass points to the weight function of the \textit{standard} $q$-Racah polynomials are introduced. Several algebraic ...
On the orthogonality of q-classical polynomials of the Hahn class II
q-polynomials orthogonal polynomials on q-linear lattices q-Hahn class Classical Analysis and ODEs
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2011/9/5
Abstract: In this article, the study of the orthogonality properties of $q$-polynomials of the Hahn class started in the initial article by R. \'Alvarez-Nodarse, R. Sevinik-Ad{\i}g\"uzel, and H. Ta\c{...
On the orthogonality of q-classical polynomials of the Hahn class
q-polynomials orthogonal polynomials on q-linear lattices q-Hahn class Classical Analysis and ODEs
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2011/9/5
Abstract: The central idea behind this article is to discuss in a unified sense the orthogonality of all possible polynomial solutions of the $q$-hypergeometric difference equation on a $q$-linear lat...
Self-improving properties for abstract Poincaré type inequalities
Self-improving properties BMO and Lipschitz spaces John-Nirenberg inequalities generalized Poincare-Sobolev inequalities
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2011/9/2
Abstract: We study self-improving properties in the scale of Lebesgue spaces of generalized Poincar\'e inequalities in the Euclidean space. We present an abstract setting where oscillations are given ...
Asymptotic zero distribution of a class of hypergeometric polynomials
Asymptotic zero distribution Hypergeometric polynomials Jacobi polynomials
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2011/9/2
Abstract: We prove that the zeros of ${}_2F_1(-n,\frac{n+1}{2};\frac{n+3}{2};z)$ asymptotically approach the section of the lemniscate $\{z: |z(1-z)^2|=4/27; \textrm{Re}(z)>1/3\}$ as $n\rightarrow \in...
Multilinear Oscillatory Integrals Via Reduction of Dimension
Multilinear Oscillatory Integrals Reduction of Dimension Classical Analysis and ODEs
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2011/9/5
Abstract: Christ, Li, Tao, and Thiele have established multilinear oscillatory integral operator inequalities under severe dimensional restrictions. These restrictions are relaxed substantially in the...
Bounds For Multilinear Sublevel Sets Via Szemeredi's Theorem
Multilinear Sublevel Sets Szemeredi's Theorem Classical Analysis and ODEs
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2011/9/5
Abstract: In 2005, Li, Tao, Thiele and the author raised a general question concerning upper bounds for a class of multilinear oscillatory integral operators, and established such bounds in a few case...
Some asymptotics for the Bessel functions with an explicit error term
Bessel function Airy function asymptotic error term zeros
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2011/9/1
Abstract: We show how one can obtain an asymptotic expression for some special functions satisfying a second order differential equation with a very explicit error term starting from appropriate upper...