We study some direct results for the recently introduced family of modified Baskakov type operators. In particular, we obtain local direct results on ordinary and simultaneous approximation and an estimation of error for linear combinations in terms of higher order modulus of continuity. We have applied the Steklov mean as a tool for the linear approximating method.
Lebesgue integrable functions, direct results, simultaneous approximation, Steklov mean, linear combinations.
MSC 2000: 41A30, 41A36