AbstractLet ƒ ϵ C[−1, 1]. A sufficient condition is given which ensures that the nth polynomial of best approximation to ƒ is increasing for n sufficiently large. Using this condition, we are able to give a counterexample to a theorem announced by Tzimbalario [6]
AbstractIn 1934, Walsh noted that the Taylor polynomial of degree n can be obtained by taking the li...
AbstractLet {γm}m=1∞be a sequence of positive numbers, and letf:Rd→Cbe a function such that for some...
AbstractThe approximation of functions by Müntz polynomials pn(x) = ∑v=0navxλv, nϵN, is studied. Con...
AbstractLet ƒ ϵ C[−1, 1]. A sufficient condition is given which ensures that the nth polynomial of b...
AbstractWe discuss the degree of approximation by polynomials of a functionfthat is piecewise monoto...
AbstractIt is known that if P is any polynomial of degree ⩽ n and m(x) = cxk is a monomial of best a...
When we approximate a function f in which changes its monotonicity finitely many, say s time, in...
AbstractWe obtain sufficient conditions on a real valued function ƒ, continuous on [0, + ∞), to insu...
AbstractThe problem considered is the approximation of a continuous function defined on an interval ...
AbstractIt is shown that an algebraic polynomial of degree ⩽k−1 which interpolates ak-monotone funct...
. When we approximate a continuous nondecreasing function f in [\Gamma1; 1], we wish sometimes that...
Jackson type theorems are obtained for generalized monotone approximation. Let En , k(f) be the deg...
AbstractUsing some new ideas and careful calculation, the present paper shows that there exists a fu...
AbstractThis paper gives a counterexample that the strong unicity fails for best monotone approximat...
AbstractLetfbe a continuous function on [−1, 1], which changes its monotonicity finitely many times ...
AbstractIn 1934, Walsh noted that the Taylor polynomial of degree n can be obtained by taking the li...
AbstractLet {γm}m=1∞be a sequence of positive numbers, and letf:Rd→Cbe a function such that for some...
AbstractThe approximation of functions by Müntz polynomials pn(x) = ∑v=0navxλv, nϵN, is studied. Con...
AbstractLet ƒ ϵ C[−1, 1]. A sufficient condition is given which ensures that the nth polynomial of b...
AbstractWe discuss the degree of approximation by polynomials of a functionfthat is piecewise monoto...
AbstractIt is known that if P is any polynomial of degree ⩽ n and m(x) = cxk is a monomial of best a...
When we approximate a function f in which changes its monotonicity finitely many, say s time, in...
AbstractWe obtain sufficient conditions on a real valued function ƒ, continuous on [0, + ∞), to insu...
AbstractThe problem considered is the approximation of a continuous function defined on an interval ...
AbstractIt is shown that an algebraic polynomial of degree ⩽k−1 which interpolates ak-monotone funct...
. When we approximate a continuous nondecreasing function f in [\Gamma1; 1], we wish sometimes that...
Jackson type theorems are obtained for generalized monotone approximation. Let En , k(f) be the deg...
AbstractUsing some new ideas and careful calculation, the present paper shows that there exists a fu...
AbstractThis paper gives a counterexample that the strong unicity fails for best monotone approximat...
AbstractLetfbe a continuous function on [−1, 1], which changes its monotonicity finitely many times ...
AbstractIn 1934, Walsh noted that the Taylor polynomial of degree n can be obtained by taking the li...
AbstractLet {γm}m=1∞be a sequence of positive numbers, and letf:Rd→Cbe a function such that for some...
AbstractThe approximation of functions by Müntz polynomials pn(x) = ∑v=0navxλv, nϵN, is studied. Con...
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