Approximate Regularity of Commutative Beurling Algebras and Korovkin Approximation.
Approximate smoothings of locally Lipschitz functionals
The paper deals with approximation of locally Lipschitz functionals. A concept of approximation, based on the idea of graph approximation of the generalized gradient, is discussed and the existence of such approximations for locally Lipschitz functionals, defined on open domains in , is proved. Subsequently, the procedure of a smooth normal approximation of the class of regular sets (containing e.g. convex and/or epi-Lipschitz sets) is presented.
Approximate solution of an inhomogeneous abstract differential equation
Recently, we have developed the necessary and sufficient conditions under which a rational function approximates the semigroup of operators generated by an infinitesimal operator . The present paper extends these results to an inhomogeneous equation .
Approximate solutions of equations defined by complex spherical multiplier operators.
Approximate Solutions Of The Operator Linear Differential Equation II
Approximating real Pochhammer products: a comparison with powers
Accurate estimates of real Pochhammer products, lower (falling) and upper (rising), are presented. Double inequalities comparing the Pochhammer products with powers are given. Several examples showing how to use the established approximations are stated.
Approximating the finite Hilbert transform via an Ostrowski type inequality for functions of bounded variation.
Approximation
Approximation and entropy numbers of compact Sobolev embeddings
The aim of the paper is twofold. First we give a survey of some recent results concerning the asymptotic behavior of the entropy and approximation numbers of compact Sobolev embeddings. Second we prove new estimates of approximation numbers of embeddings of weighted Besov spaces in the so called limiting case.
Approximation and entropy numbers of embeddings in weighted Orlicz spaces
Upper estimates are obtained for approximation and entropy numbers of the embeddings of weighted Sobolev spaces into appropriate weighted Orlicz spaces. Results are given when the underlying space domain is bounded and for certain unbounded domains.
Approximation and Extension of Random Functions.
Approximation and regularization of arbitrary functions in Hilbert spaces by the Lasry-Lions method
Approximation and shape preserving properties of the Bernstein operator of max-product kind.
Approximation and shape preserving properties of the nonlinear Bleimann-Butzer-Hahn operators of max-product kind
Starting from the study of the Shepard nonlinear operator of max-prod type in (Bede, Nobuhara et al., 2006, 2008), in the book (Gal, 2008), Open Problem 5.5.4, pp. 324–326, the Bleimann-Butzer-Hahn max-prod type operator is introduced and the question of the approximation order by this operator is raised. In this paper firstly we obtain an upper estimate of the approximation error of the form . A consequence of this result is that for each compact subinterval , with arbitrary , the order of uniform...
Approximation by circular splines for solutions of ordinary differential equations
Approximation by compact operators over spaces of continuous functions.
Approximation by continuous vector valued functions
Approximation by Cubic C1-Splines on Arbitrary Triangulations.
Approximation by double Walsh polynomials.
Approximation by Durrmeyer-type operators
We define a new kind of Durrmeyer-type summation-integral operators and study a global direct theorem for these operators in terms of the Ditzian-Totik modulus of smoothness.