Results 31 to 40 of about 94,079 (317)
Kolmogorov inequalities for norms of Marchaud-type fractional derivatives of multivariate functions
We obtain new sharp Kolmogorov type inequalities, estimating the norm of mixed Marchaud type derivative of multivariate function through the C-norm of function itself and its norms in Hölder spaces.
N.V. Parfinovych, V.V. Pylypenko
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Some inequalities between the best simultaneous approximation of functions and their intermediate derivatives, and the modulus of continuity in a weighted Bergman space are obtained. When the weight function is \(\gamma(\rho)=\rho^\alpha,\) \(\alpha>0\),
Muqim S. Saidusainov
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ON AN ESTIMATE FOR THE MODULUS OF CONTINUITY OF A NONLINEAR INVERSE PROBLEM
A reverse time problem is considered for a semilinear parabolic equation. Two-sided estimates are obtained for the norms of values of a nonlinear operator in terms of the norms of values of the corresponding linear operator.
Elena V. Tabarintseva
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A Dunkl Analogue of Operators Including Two-variable Hermite polynomials
The aim of this paper is to introduce a Dunkl generalization of the operators including two variable Hermite polynomials which are defined by Krech [14](Krech, G.
Aktaş, Rabia +2 more
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$\text{TT}^{\Box}_{\mathcal C}$: a Family of Extensional Type Theories with Effectful Realizers of Continuity [PDF]
$\text{TT}^{\Box}_{{\mathcal C}}$ is a generic family of effectful, extensional type theories with a forcing interpretation parameterized by modalities.
Liron Cohen, Vincent Rahli
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Application of the Modulus of Continuity in Characterizing Geodesics
Introduction This paper concerns an application of the modulus of continuity in characterizing geodesics. The modulus of continuity of a continuous function between metric spaces is a two variable function which assigns to each point and to each positive
Hojjat Farzadfard
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The purpose of this paper is to find the best multiplier approximation of unbounded functions in –space by using some discrete linear positive operators.
Saheb AL- Saidy +2 more
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Modulus of continuity estimates for fully nonlinear parabolic equations [PDF]
We prove that the moduli of continuity of viscosity solutions to fully nonlinear parabolic partial differential equations are viscosity subsolutions of suitable parabolic equations of one space variable. As applications, we obtain sharp Lipschitz bounds and gradient estimates for fully nonlinear parabolic equations with bounded initial data, via ...
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Holder continuity of absolutely continuous spectral measures for one-frequency Schrodinger operators
We establish sharp results on the modulus of continuity of the distribution of the spectral measure for one-frequency Schrodinger operators with Diophantine frequencies in the region of absolutely continuous spectrum.
A. Avila +19 more
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Bernstein Polynomials and Modulus of Continuity
The author describes several properties related to the first order modulus of continuity, which are preserved by the operator given by Bernstein polynomials. Let the function \(\omega(t)\) on \([0,1]\) be a modulus of continuity. By \(H^\omega\) we denote the class of continuous functions on \([0,1]\) satisfying the inequality \(\omega(f,t)\leq\omega(t)
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