Akishev Gabdolla Akishevich

Publications in Math-Net.Ru

1. Estimates of $M$–term approximations of functions of several variables in the Lorentz space by a constructive method
   
   Eurasian Math. J., 15:2 (2024),  8–32
2. Inequalities for the best “angular” approximation and the smoothness modulus of a function in the Lorentz space
   
   Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 230 (2023),  8–24
3. On orders of $n$-term approximations of functions of many variables in the Lorentz space
   
   Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 227 (2023),  3–19
4. On estimates of the order of the best $M$-term approximations of functions of several variables in the anisotropic Lorentz – Zygmund space
   
   Izv. Saratov Univ. Math. Mech. Inform., 23:2 (2023),  142–156
5. Nikol'skii's inequality of different metrics for trigonometric polynomials in a space with mixed asymmetric norm
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 29:4 (2023),  11–26
6. On estimates for orders of best $M$-term approximations of multivariate functions in anisotropic Lorentz–Karamata spaces
   
   Ufimsk. Mat. Zh., 15:1 (2023),  3–21
7. On estimates of linear widths for classes of multivariate functions in the Lorentz space
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 28:4 (2022),  23–39
8. On the best M-term approximations of functions from the Nikol'skii-Besov class in the Lorentz space
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 28:1 (2022),  7–26
9. Estimates for the best approximations of functions from the Nikol'skii-Besov class in the Lorentz space by trigonometric polynomials
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 26:2 (2020),  5–27
10. Estimates of best approximations of functions with logarithmic smoothness in the Lorentz space with anisotropic norm
    
    Ural Math. J., 6:1 (2020),  16–29
11. On the exactness of the inequality of different metrics for trigonometric polynomials in the generalized Lorentz space
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 25:2 (2019),  9–20
12. An inequality of different metrics in the generalized Lorentz space
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 24:4 (2018),  5–18
13. Estimates for best approximations of functions from the logarithmic smoothness class in the Lorentz space
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 23:3 (2017),  3–21
14. On approximation orders of functions of several variables in the Lorentz space
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 22:4 (2016),  13–28
15. Estimates for Kolmogorov widths of the Nikol'skii — Besov — Amanov classes in the Lorentz space
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 21:4 (2015),  3–13
16. On the exact estimations of the best $M$–terms approximation of the Besov class
    
    Sib. Èlektron. Mat. Izv., 7 (2010),  255–274
17. Absolute convergence of Fourier series of superpositions of functions
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 11,  3–11
18. The ortho-diameters of Nikol'skii and Besov classes in the Lorentz spaces
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 2,  25–33
19. On degree of approximation of classes in Lorentz space
    
    Sib. Èlektron. Mat. Izv., 5 (2008),  51–67
20. Convergence of Double Fourier Series of Functions from Symmetric Spaces
    
    Mat. Zametki, 81:3 (2007),  323–327
21. On Orders of Approximation of Function Classes in Lorentz spaces with Anisotropic Norm
    
    Mat. Zametki, 81:1 (2007),  3–16
22. On degrees of approximation of some classes by polynomials with respect to generalized Haar system
    
    Sib. Èlektron. Mat. Izv., 3 (2006),  92–105
23. Approximation of function classes in spaces with mixed norm
    
    Mat. Sb., 197:8 (2006),  17–40
24. On degree of approximation function classes in the space Lebesgue with anisotropic norm
    
    Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 148:2 (2006),  5–17
25. On orders of approximation of function classes by polynomials in the generalized Haar system
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2005, no. 3,  13–22
26. Generalized Haar system and theorems of embedding into symmetrical spaces
    
    Fundam. Prikl. Mat., 8:2 (2002),  319–334
27. On some theorems for the Price system
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2002, no. 1,  3–8
28. On the absolute convergence of Fourier series in the generalized Haar system
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2000, no. 3,  8–16


29. Corrections to the paper “Generalized Haar system and theorems of embedding into symmetrical spaces” (Fundamentalnaya i Prikladnaya Matematika, Vol. 8, No. 2, 319–334 (2002))
    
    Fundam. Prikl. Mat., 15:5 (2009),  209–210
30. Erratum to “On degree of approximation of classes polynomials with respect to generalized Haar system”
    
    Sib. Èlektron. Mat. Izv., 5 (2008),  383–386