In this note, we provide various two-weight norm estimates of the multi-linear fractional maximal function and weighted between different Orlicz spaces. More precisely, obtain Sawyer-type characterizations for these operators.

Abstract In this paper, we show that Orlicz–Sobolev spaces $$W^{1,\varphi }(\varOmega )$$ W 1 , φ ( Ω ) can be characterized with the ACL- and ACC-characterizatio...

We define and study λ2-convergence of double sequences of interval numbers defined by Orlicz function and λ2-statistical convergence of double sequences of interval numbers. We also establish some inclusion relations between them.

The aim of this paper is to investigate the order approximation by some linear summation methods trigonometric Fourier series in weighted Orlicz spaces which have generating Young functions not necessary be convex. Obtained estimations base on fractional modulus smoothness and best approximation. Furthermore, a convolution type operator defined its estimation obtained.

In this paper we introduce the difference paranormed sequence spaces c0(M,∆m, p), c(M,∆ n m, p) and `∞(M,∆ n m, p) respectively. We study their different properties like completeness, solidity, monotonicity, symmetricity etc. We also obtain some relations between these spaces as well as prove some inclusion results.