On a Class of Chebyshev Approximation Problems Which Arise in Connection with a Conjugate Gradient Type Method.
On a Map from the Splines into a Positive Cone with Applications.
On an approximation of function and its derivatives.
On Baica's trigonometric identity.
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 Error Bounds for Approximation by Piecewise Polynomial Functions.
On best simultaneous approximation.
On characterization of non-linear best Chebyshev approximations
On embeddings of function classes defined by constructive characteristics
In this paper we study embedding theorems for function classes which are subclasses of , 1 ≤ p ≤ ∞. To define these classes, we use the notion of best trigonometric approximation as well as that of a (λ,β)-derivative, which is the generalization of a fractional derivative. Estimates of best approximations of transformed Fourier series are obtained.
On -best approximation in topological spaces
On farthest and nearly farthest points
On k-regular embeddings of spaces in Euclidean space
On Multivariate Polynomials of Least Deviation from Zero on the Unit Ball.
On Optimal Global Error Bounds Obtained by Scaled Local Error Estimates.
On Orthogonal Linear ...1 Approximation.
On polynomials of least deviation from zero in several variables.
On projection constant problems and the existence of metric projections in normed spaces.
On restricted derivative approximation
On the approximation by compositions of fixed multivariate functions with univariate functions
The approximation in the uniform norm of a continuous function f(x) = f(x₁,...,xₙ) by continuous sums g₁(h₁(x)) + g₂(h₂(x)), where the functions h₁ and h₂ are fixed, is considered. A Chebyshev type criterion for best approximation is established in terms of paths with respect to the functions h₁ and h₂.
On the best approximation properties of -smooth functions on an interval of the real axis (to the phenomenon of unsaturated numerical methods).