Some New Fourier and Jackson-Nikol`skii Type Inequalities In Unbounded Orthonormal Systems

Authors : Gabdolla AKİSHEV, Lars Erik PERSSON, Harpal SİNGH

Pages : 291-304

Doi:10.33205/cma.910173

View : 22 | Download : 13

Publication Date : 2021-09-16

Article Type : Research Paper

Abstract :We consider the generalized Lorentz space L ;q dened via a continuous and concave function and the Fourier series of a function with respect to an unbounded orthonormal system. Some new Fourier and Jackson-Nikol`skii type inequalities in this frame are stated, proved and discussed. In particular, the derived results generalize and unify several well-known results but also some new applications are pointed out.
Keywords : Inequalities, generalized Lorentz spaces, unbounded orthonormal system, Fourier inequalities, Jackson Nikol`skii inequality