Orlicz空间中Kantorovi算子逼近等价定理

APPROXIMATION EQUIVALENT THEOREM OF KANTOROVI OPERATORS IN ORLICZ SPACE

以带权函数的连续模为工具 ,讨论了 Kantorovic算子在 Orlicz空间中逼近的正、逆定理 ,进而得到其等价刻划 .

In Orlicz space with a modulus of smoothness with weight an approximational theorem and an inverse theorem of Kantorovi c ˇ operators are established.Especially an approximational equivelent theorem of the operators is also obtained.