A note on finite quadrature rules with a kind of Freud weight function.
A note on generalized projections in c₀
Let V ⊂ Z be two subspaces of a Banach space X. We define the set of generalized projections by . Now let X = c₀ or , Z:= kerf for some f ∈ X* and (n < m). The main goal of this paper is to discuss existence, uniqueness and strong uniqueness of a minimal generalized projection in this case. Also formulas for the relative generalized projection constant and the strong uniqueness constant will be given (cf. J. Blatter and E. W. Cheney [Ann. Mat. Pura Appl. 101 (1974), 215-227] and G. Lewicki...
A note on integral inequalities involving the product of two functions.
A note on integral modification of the Meyer-König and Zeller operators.
A note on Kakutani type fixed point theorems.
A note on lacunary approximation on [-1,1]
A note on one of the Bernstein theorems
One of the Bernstein theorems that the class of bounded functions of the exponential type is dense in the space of bounded and uniformly continuous functions. This theorem follows from a convergence theorem for some interpolating operators on the real axis.
A note on polynomial approximation in Sobolev spaces
A note on polynomial approximation in Sobolev spaces
For domains which are star-shaped w.r.t. at least one point, we give new bounds on the constants in Jackson-inequalities in Sobolev spaces. For convex domains, these bounds do not depend on the eccentricity. For non-convex domains with a re-entrant corner, the bounds are uniform w.r.t. the exterior angle. The main tool is a new projection operator onto the space of polynomials.
A note on rate of approximation for certain Bézier-Durrmeyer operators
A note on rotation in separable Banach spaces
A note on simultaneous diophantine approximation.
A Note on Suns in Convex Metric Spaces
A note on the accuracy of Ramanujan's approximative formula for the perimeter of an ellipse.
A note on the best approximation by ridge functions.
A note on the Bézier variant of certain Bernstein Durrmeyer operators.
A note on the convergence of partial Szász-Mirakyan type operators
In this paper we study approximation properties of partial modified Szasz-Mirakyan operators for functions from exponential weight spaces. We present some direct theorems giving the degree of approximation for these operators. The considered version of Szász-Mirakyan operators is more useful from the computational point of view.
A note on the modified -Bernstein polynomials.
A Note on the Newman-Schoenberg Phenomenon.
A Note on the Optimal Quadrature in Hp.