In this paper, using equi-ideal convergence, we introduce a non-trivial generalization of the classical and the statistical cases of the Korovkin approximation theorem. We also compute the rates of equi-ideal convergence of sequences of positive linear operators. Furthermore, we obtain a Voronovskaya-type theorem in the equi-ideal sense for a sequence of positive linear operators constructed by...

In this paper, we investigate the diameters, Chebyshev radii, self-radii and inner radii of a sequence sets in normed spaces. We prove that if is I -Hausdorff convergent to set, I-convergent. Similar relations are showed for sequence.

In this paper, we introduce generalized difference sequence spaces via ideal convergence, lacunary of χ sequence spaces over p−metric spaces defined by Musielak function, and examine the Musielak-Orlicz function which satisfies uniform ∆2 condition, and we also discuss some topological properties of the resulting spaces of χ with respect to ideal structures which is solid and monotone. Hence, g...