On approximation by modified Bernstein polynomials.
On approximation of analytic functions and generalized orders
A characterization of a generalized order of analytic functions of several complex variables by means of polynomial approximation and interpolation is established.
On Approximation Of Continuous And Differentiable Functions By Fourier-Jacobi Series
On approximation of copulas.
On approximation of functions and their derivatives by quasi-Hermite interpolation.
On approximation of functions by certain operators preserving
In this paper we extend the Duman-King idea of approximation of functions by positive linear operators preserving , . Using a modification of certain operators preserving and , we introduce operators which preserve and and next we define operators for -times differentiable functions. We show that and have better approximation properties than and .
On approximation of functions by generalized Abel--Poisson operators.
On approximation of integrable functions by modified Bernstein polynomials.
On asymptotic expansions of Kratzel's integral transforms
On asymptotic integrations of
On Averaging Sets.
On Baica's trigonometric identity.
On Bernstein inequalities for multivariate trigonometric polynomials in ,
Let be the space of all trigonometric polynomials of degree not greater than with complex coefficients. Arestov extended the result of Bernstein and others and proved that for and . We derive the multivariate version of the result of Golitschek and Lorentz for all trigonometric polynomials (with complex coeffcients) in variables of degree at most .
On Bernstein type operators
On Bernstein type rational functions of two variables
On Bernstein's Inequality and Kahane's Ultraflat Polynomials.
On best approximation in fuzzy metric spaces
In this paper we introduce the notation of t-best approximatively compact sets, t-best approximation points, t-proximinal sets, t-boundedly compact sets and t-best proximity pair in fuzzy metric spaces. The results derived in this paper are more general than the corresponding results of metric spaces, fuzzy metric spaces, fuzzy normed spaces and probabilistic metric spaces.
On Best Cubature Formulas and Spline Interpolation.
On Best Error Bounds for Approximation by Piecewise Polynomial Functions.
On best simultaneous approximation.