### Pliska Studia Mathematica Bulgarica

**Volume 5, 1983**

Theme: Theory of approximations
GUEST EDITOR: V. Popov

Sofia, 1983

Note: On February 8th 1982 was celebrated the 50th anniversary of Academician Blagovest Sendov. The present volume is published on this occasion

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

**Iliev, L. **The 50th anniversary of academician Blagovest Hristov Sendov. (Russian). (pp. 3-5)
**Iliev, L. **The 50th anniversary of academician Blagovest Hristov Sendov. (English) (pp. 6-8)
**Vachov, D. **Comp. Bibliography of Bl. Sendov. (English) (pp. 9-13)
**Hristov, V. **On the mean convergence of interpolational polynomials of periodic functions. (Russian) (pp. 14-22)
**Hristov, V. **On Fourier-Lagrange coefficients. (Russian) (pp. 23-31)
**Djukanova, T. ** Approximation of functions by means of linear summation Baskakov’s operators in L_{p}. (English) (pp. 32-39)
**Boyanov, T. **Approximation of the letter Gamma by algebraic polynomial curves. (Russian) (pp. 40-42)
**Kjurkchiev, N. **On some modifications of L. Ehrlich's method for the approximate solution of algebraic equations. (Russian) (pp. 43-50)
**Lazarov, R. **Convergence of difference schemes for parabolic equations with generalized solutions. (Russian) (pp. 51-59)
**Nikolcheva, M. **Approximation of continuous curves on the plane by parts of circumferences. (Russian) (pp. 60-64)
**Petkov, M. **On an approach to the inversion of ill-conditioned matrices. (Russian) (pp. 65-67)
**Petrushev, P. **Connections between the best rational and the spline approximations in the metric L_{p}. (Russian) (pp. 68-83)
**Andreev, A. **Convengence rate for spline collocation to Fredholm integral equation of second kind. (English) (pp. 84-92)
**Bojanov, B. **A generalization of Chebyshev Polynomials. II. (English) (pp. 93-96)
**Ivanov, K. **On the of convergence of two modules of functions. (English) (pp. 97-104)
**Dimitrova, N., Markov, S. **Interval methods of Newton type for nonlinear equations. (English) (pp. 105-117)
**Kjurkchiev, N., Markov, S. **Two interval methods for algebraic equations with real roots. (English) (pp. 118-131)
**Popov, V. **Function spaces, generated by the averaged modules of smoothness. (English) (pp. 132-143)
**Iliev, G., Trifonova, M. **Partially monotone approximation of differentiable functions. (English) (pp. 144-150)
**Ivanov, K. **On a new characteristic of functions II. Direct and converse theorems for the best algebraic approximation in C[–1,1] and Lp[–1,1]. (English) (pp. 151-163)

Creator: Laboratory DSCH,
IS Department, 20.12.2011

Available online since: 20.04.2012