Approximation problems in the Lebesgue spaces with variable exponent

作者：Israfilov Daniyal M^*; Testici Ahmet

来源：Journal of Mathematical Analysis and Applications, 2018, 459(1): 112-123.

DOI：10.1016/j.jmaa.2017.10.067

• Approximation by polynomials
• Modulus of smoothness
• Variable exponent Lebesgue spaces
• Direct and inverse theorems
• Generalized Lipschitz classes

In the variable exponent Lebesgue space, the r-th modulus of smoothness (r = 1,2, ... ) is defined and in this term, the direct and inverse theorems of approximation theory are proved. Moreover, the constructive characterization problems for the some subclasses are discussed.

• 出版日期2018-3-1