### Pliska Studia Mathematica Bulgarica

**Volume 1, 1977**

EDITOR: B. Sendov
Sofia, 1977

#### C O N T E N T S

**Chakalov, V., Dimitrov, E. **Interpolation processes that converge uniformly to positive functions. (Russian) (pp. 3-20)
**Petrushev, P., Christov, V. **Convergence of a Fourier series in the Hausdorff metric. (Russian) (pp. 21-36)
**Christov, V., Petrushev, P. **Convergence of Fourier series in a Banach space. (Russian) (pp. 37-48)
**Feschiev, I. **Approximation of complex-valued functions by interpolation polynomials. (Russian) (pp. 49-59)
**Bojadziev, P. **An extremal problem for rational functions. (Russian) (pp. 60-71)
**Popov, V., Iliev, G. **Parametric approximation of piecewise analytic functions. (English) (pp. 72-78)
**Sendov, B. **Best Hausdorff approximation by spline functions with equidistant nodes. (Russian) (pp. 79-92)
**Iliev, G. **An improvement of Sendov's estimation for parametric approximation of partially analytic functions. (English) (pp. 93-99)
**Bojanov, B. **Best approximation of linear functionals in W. (English) (pp. 100-111)
**Markov, S. **Relations between the integral and Hausdorff distance with applications to differential equations. (English) (pp. 112-121)
**Kenderov, P. **Uniqueness on a residual part of best approximations in Banach spaces. (English) (pp. 122-127)
**Christov, V. **A test of Dini-Lipschitz type for the uniform convergence of interpolation polynomials. (Russian) (pp. 128-133)
**Bojanov, T. **Approximation of plane compacts by means of polynomial curves. (English) (pp. 134-136)
**Totkov, G. **Characterization of the metric dimension of a compact set by best step function approximations of continuous functions on the compact. (Russian) (pp. 137-144)
**Petrushev, P. **Uniform rational approximations of functions of bounded variation. (Russian) (pp. 145-155)

Creator: Laboratory DSCH,
IS Department, 20.12.2011

Available online since: 20.04.2012