Schauder theory in variable Hölder spaces

Schauder decompositions in locally convex spaces

Reverse Hölder Inequalities and Approximation Spaces

We develop a simple geometry free context where one can formulate and prove general forms of Gehring's Lemma. We show how our result follows from a general inverse type reiteration theorem for approximation spaces. 2001 Academic Press

Fixed Point Theory and Generalized Leray–schauder Alternatives for Approximable Maps in Topological Vector Spaces

Some new fixed point theorems for approximable maps are obtained in this paper. Homotopy results, via essential maps, are also presented for approximable maps.

Schauder Fixed Point Theorem in Spaces with Global Nonpositive Curvature

Sharp estimates of approximation of periodic functions in Hölder spaces

The main purpose of the paper is to study sharp estimates of approximation of periodic functions in the Hölder spaces H p for all 0 < p ≤ ∞ and 0 < α ≤ r. By using modifications of the classical moduli of smoothness, we give improvements of the direct and inverse theorems of approximation and prove the criteria for the precise order of decrease of the best approximation in these spaces. Moreove...