Approximation by integral functions of finite degree in variable exponent Lebesgue spaces on the real axis

作者：Akgun Ramazan; Ghorb****izadeh Arash^*

来源：Turkish Journal of Mathematics, 2018, 42(4): 1887-1903.

DOI：10.3906/mat-1605-26

• Direct theorem
• inverse theorem
• modulus of continuity
• simultaneous approximation
• Lipschitz class

We obtain several inequalities of approximation by integral functions of finite degree in generalized Lebesgue spaces with variable exponent defined on the real axis. Among them are direct, inverse, and simultaneous estimates of approximation by integral functions of finite degree in L-p(.). An equivalence of modulus of continuity with Peetre's K-functional is established. A constructive characterization of Lipschitz class is also obtained.

• 出版日期2018