References

APPROXIMATION IN WEIGHTED LORENTZ SPACES


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[3] A. DoÄŸu, A. H. AvÅŸar and Y. E. Yildirir, Some inequalities about convolution and trigonometric approximation in weighted Orlicz spaces, Proc. Inst. Math. Mech. Natl. Acad. Sci. Azerb. 44(1) (2018), 107-115.

[4] I. Genebashvili, A. Gogatishvili, V. Kokilashvil and M. Krbec, Weight Theory for Integral Transforms on Spaces of Homogeneous Type, Longman, 1998.

[5] V. Kokilashvili and Y. E. Yildirir, On the approximation by trigonometric polynomials in weighted Lorentz spaces, Journal of Function Spaces and Applications 8(1) (2010), 67-86.
DOI: http://dx.doi.org/10.1155/2010/372106

[6] A. N. Kolmogorov and S. V. Fomin, Introductory Real Analysis, Dover Publications, New York, 1970.

[7] B. Muckenhoupt, Weighted norm inequalities for the Hardy maximal function, Transactions of the American Mathematical Society 165 (1972), 207-226.
DOI: https://doi.org/10.1090/S0002-9947-1972-0293384-6

[8] V. G. Ponomarenko and M. F. Timan, The properties of convolution type transforms in the orlicz spaces, Theory of approximation of functions, Proceedings of the Institute Math. Mech. 3, Donetsk, 1998.

[9] S. G. Samko, A. A. Kilbas and O. I. Marichev, Fractional Integrals and Derivatives, Theory and Applications, Gordon and Breach Science Publishers, 1993.

[10] Y. E. Yildirir and D. M. Israfilov, The properties of convolution type transforms in weighted Orlicz spaces, Glasnik Matematicki 45(2) (2010), 461-474.
DOI: https://doi.org/10.3336/gm.45.2.13

[11] Y. E. Yildirir and A. DoÄŸu, Convolution and approximation in weighted Lorentz spaces, Journal of Mathematical Analysis 7(5) (2016), 54-60.

[12] Y. E. Yildirir and D. M. Israfilov, Approximation theorems in weighted Lorentz spaces, Carpathian Journal of Mathematics 26(1) (2010), 108-119.