Some best approximation formulas and inequalities for the Wallis ratio

Estimates for the constants of Landau and Lebesgue via some inequalities for the Wallis ratio

We establish several new inequalities of the constants of Landau and Lebesgue

extensions of some polynomial inequalities to the polar derivative

توسیع تعدادی از نامساوی های چند جمله ای در مشتق قطبی

New approximation formulas for evaluating the ratio of gamma functions

4 T. Buric, N. Elezovic, Bernoulli polynomials and asymptotic expansions of the quotient of gamma functions 0.88665 Journal of Computational and Applied Mathematics, 235 (2011), no. 11, 3315-3331 Computers and Mathematics with Applications, 60 (2010), no. 3, 786-791 C. Mortici, An extension of the Szasz-Mirakjan operators Analele Stiintifice ale Universitatii Ovidius Constanta, 17 (2010), no. 1...

On Maximal Inequalities Arising in Best Approximation

Let f be a function in an Orlicz space L and μ(f,L) be the set of all the best Φ-approximants to f, given a σ−lattice L. Weak type inequalities are proved for the maximal operator f∗ = supn |fn|, where fn is any selection of functions in μ(f,Ln), and Ln is an increasing sequence of σ-lattices. Strong inequalities are proved in an abstract set up which can be used for an operator as f∗.

Some Results on p-Best Approximation in Vector Spaces