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Öğe On Direct Estimates and Approximation Results by the Kantorovich Operators in Weighted Grand Lebesgue Spaces(Padova Univ Press, 2026) Aydin, Ismail; Akgun, RamazanWe give some new embeddings results for weighted grand Lebesgue spaces L-omega(p)),delta (Omega), where Omega subset of R-d is a open bounded subset. We also obtain the boundedness of the Kantorovich operator K-n in L-omega(p),delta) [0, 1]. In addition, we establish two direct estimates by K-functionals of the rate of approximation in L-omega(p),delta) [0,1].We generalize the direct estimate inequality in classical Lebesgue spaces L-p [0,1] to L-omega(p),delta)[0,1] using the boundedness of the Hardy-Littlewood maximal operator in L-omega(p),delta) [0,1]. Finally, we obtain similar results in [8] for the spaces L-omega(p),delta) [0,1].Öğe Weighted variable exponent grand Lebesgue spaces and inequalities of approximation(Hacettepe Univ, Fac Sci, 2021) Aydin, Ismail; Akgun, RamazanIn this paper we discuss and investigate trigonometric approximation in weighted grand variable exponent Lebesgue spaces. We also prove the direct and inverse theorems in these spaces.












