Kolomoitsev Yurii
Publications
1. Yu. Kolomoitsev, T. Lomako, J. Prestin. On approximation of functions by algebraic polynomials in Hölder spaces (submitted to Math. Nachr.).
2. Yu. Kolomoitsev, E. Liflyand. On weighted conditions for the absolute convergence of Fourier integrals (submitted to Math. Z.).
3. Yu. Kolomoitsev, J. Prestin. Sharp estimates of approximation of periodic functions in H ̈older spaces, J. Approx. Theory, 200 (2015), 68-91.
4. Yu.S. Kolomoitsev. Inequalities for fractional derivatives of trigonometric polynomials in spaces with integral metric. (Russian) Ukr. Math. J. 67 (2015), no. 1, 42-56.
5. Yu.S. Kolomoitsev. Multiplicative sufficient conditions for Fourier multipliers. (Russian) Izv. RAN. Ser. Mat. 78 (2014), no. 2, 145-166; translation in Izv. Math. 78 (2014), no. 2, 354-374.
6. Yu.S. Kolomoitsev. On the Bernstein-type inequalities for fractional derivatives in the classes φ(L). (Russian) Tr. Inst. Prikl. Mat. Mekh. NAN Ukrainy 26 (2013), 95-103.
7. Yu.S. Kolomoitsev. On sufficient conditions for Fourier multipliers. (Russian) Dopov. Akad. Nauk Ukr. (2013), no. 6, 13-18.
8. Yu. Kolomoitsev, E. Liflyand. Absolute convergence of multiple Fourier integrals. Studia Math. 214 (2013), no. 1, 17-35.
9. Yu.S. Kolomoitsev. On the representation of functions as Fourier integrals. (Russian) Mat. Zametki 93 (2013), no. 4, 555-565; translation in Math. Notes 93 (2013), no. 4, 561-570.
10. Yu.S. Kolomoitsev. On a class of functions representable as a Fourier integral. (Russian) Tr. Inst. Prikl. Mat. Mekh. NAN Ukrainy, 25 (2012), 125-132.
11. Yu.S. Kolomoitsev. Approximation properties of generalized Bochner-Riesz means in the Hardy spaces H_p, 0 < p ≤ 1. (Russian) Mat. Sb. 203 (2012), no. 8, 79-96; translation in Sb. Math. 203 (2012), no. 8, 1151-1168.
12. Yu.S. Kolomoitsev. Generalization of one sufficient condition for Fourier multipliers. (Russian) Ukr. Math. J. 64 (2012), no. 10, 1373-1380; translation in Ukr. Math. J. 64 (2012), no. 10, 1562-1571.
13. Yu.S. Kolomoitsev, R.M. Trigub. On the nonclassical approximation method for periodic functions by trigonometric polynomials. (Russian) Ukr. Mat. Visn. 9 (2012), no. 3, 356-374; translation in J. Math. Sci. 188 (2013), no. 2, 113-127.
14. Yu.S. Kolomoitsev. On one sufficient condition for multipliers in Hardy space. (Russian) Tr. Inst. Prikl. Mat. Mekh. NAN Ukrainy 23 (2011), 130-135.
15. Yu.S. Kolomoitsev. On the approximation of functions by generalized Bochner-Riesz means in Hardy spaces H_p, 0 < p ≤ 1. (Russian) Dopov. Akad. Nauk Ukr.(2011), no. 7, 17-22.
16. Yu.S. Kolomoitsev. On moduli of smoothness and K-functionals of fractional order in the Hardy spaces. (Russian) Ukr. Mat. Visn. 8 (2011), no. 3, 421-446; translation in J. Math. Sci. 181 (2012), no. 1, 78-79.
17. Yu.S. Kolomoitsev. On some summability methods for power series in Hardy space H_p(D_n). (Russian) Tr. Inst. Prikl. Mat. Mekh. NAN Ukrainy 22 (2011), 125-130.
18. V.A. Gerasimenko, Yu.S. Kolomoitsev. On equivalence of K-functionals and approximation methods generated by generalized Bochner-Riesz kernels. (Russian) Visn. Khark. Univ., Ser. Mat. Prykl. Mat. Mekh. 922 (2010), 56-64.
19. Yu.S. Kolomoitsev. On two-sided estimates of approximation of functions by generalized Bochner-Riesz means in H_p, p ≤ 1. (Russian) Tr. Inst. Prikl. Mat. Mekh. NAN Ukrainy 20 (2010), 116-123.
20. Yu.S. Kolomoitsev. On approximation of functions by trigonometric polynomials with incomplete spectrum in L_p, 0 < p < 1. (Russian) Zap. Nauchn. Sem. POMI., 366 (2009), 67-83; translation in J. Math. Sci. 165 (2010), no. 4, 463-472.
21. Yu.S. Kolomoitsev, V.I. Ryazanov. Uniqueness of approximate solutions of the Beltrami equations. Tr. Inst. Prikl. Mat. Mekh. NAN Ukrainy 19 (2009), 116-124.
22. Yu.S. Kolomoitsev. Estimates of the best approximation of functions by trigonometric polynomials with spectral gaps in L_p, 0 < p < 1. (Russian) Tr. Inst. Prikl. Mat. Mekh. NAN Ukrainy 16 (2008), 103-111.
23. Yu.S. Kolomoitsev. Nikol’skii-Stechkin-Boas type inequality with a fractional derivative in L_p, 0 < p < 1. (Russian) Tr. Inst. Prikl. Mat. Mekh. NAN Ukrainy 15 (2007), 115-119.
24. Yu.S. Kolomoitsev. Completeness of the trigonometric system for the classes φ(L). (Russian) Mat. Zametki 81 (2007), no. 5, 707-712; translation in Math. Notes 81 (2007), no. 5, 632-637.
25. Yu.S. Kolomoitsev. On the boundedness of the constant of the best approximation in L_p, 0 < p < 1. (Russian) Tr. Inst. Prikl. Mat. Mekh. NAN Ukrainy 14 (2007), 117-121.
26. Yu.S. Kolomoitsev. On moduli of smoothness and Fourier multipliers in L_p, 0 < p < 1. (Russian) Ukr. Mat. Zh. 59 (2007), no. 9, 1221-1238; translation in Ukr. Math. J. 59 (2007), no. 9, 1364-1384.
27. Yu.S. Kolomoitsev. On non-comparability of linear differential operators in L_p, 0 < p < 1. (Russian) Vestn. Dnepr. Univ., Ser. Mat. (2006), no. 11, 38-45.
28. Yu.S. Kolomoitsev. On multipliers and moduli of smoothness in L_p for 0 < p < 1. (Russian) Dopov. Akad. Nauk Ukr. (2006), no. 1, 17-22.
29. Yu.S. Kolomoitsev. Some problems of approximation of functions by trigonometric polynomials in L_p, 0 < p < 1. (Russian) Izvestiya of the Tula State University., Ser. Mathematics. Mechanics. Informatics. Tula: TSU 11 (2005), no. 1, 160-169.
30. Yu.S. Kolomoitsev. Description of a class of functions with the condition ωr(f, h)p ≤ Mhr−1+1/p for 0 < p < 1. (Russian) Vestn. Dnepr. Univ., Ser. Mat. (2003), no. 8, 31-43.
2. Yu. Kolomoitsev, E. Liflyand. On weighted conditions for the absolute convergence of Fourier integrals (submitted to Math. Z.).
3. Yu. Kolomoitsev, J. Prestin. Sharp estimates of approximation of periodic functions in H ̈older spaces, J. Approx. Theory, 200 (2015), 68-91.
4. Yu.S. Kolomoitsev. Inequalities for fractional derivatives of trigonometric polynomials in spaces with integral metric. (Russian) Ukr. Math. J. 67 (2015), no. 1, 42-56.
5. Yu.S. Kolomoitsev. Multiplicative sufficient conditions for Fourier multipliers. (Russian) Izv. RAN. Ser. Mat. 78 (2014), no. 2, 145-166; translation in Izv. Math. 78 (2014), no. 2, 354-374.
6. Yu.S. Kolomoitsev. On the Bernstein-type inequalities for fractional derivatives in the classes φ(L). (Russian) Tr. Inst. Prikl. Mat. Mekh. NAN Ukrainy 26 (2013), 95-103.
7. Yu.S. Kolomoitsev. On sufficient conditions for Fourier multipliers. (Russian) Dopov. Akad. Nauk Ukr. (2013), no. 6, 13-18.
8. Yu. Kolomoitsev, E. Liflyand. Absolute convergence of multiple Fourier integrals. Studia Math. 214 (2013), no. 1, 17-35.
9. Yu.S. Kolomoitsev. On the representation of functions as Fourier integrals. (Russian) Mat. Zametki 93 (2013), no. 4, 555-565; translation in Math. Notes 93 (2013), no. 4, 561-570.
10. Yu.S. Kolomoitsev. On a class of functions representable as a Fourier integral. (Russian) Tr. Inst. Prikl. Mat. Mekh. NAN Ukrainy, 25 (2012), 125-132.
11. Yu.S. Kolomoitsev. Approximation properties of generalized Bochner-Riesz means in the Hardy spaces H_p, 0 < p ≤ 1. (Russian) Mat. Sb. 203 (2012), no. 8, 79-96; translation in Sb. Math. 203 (2012), no. 8, 1151-1168.
12. Yu.S. Kolomoitsev. Generalization of one sufficient condition for Fourier multipliers. (Russian) Ukr. Math. J. 64 (2012), no. 10, 1373-1380; translation in Ukr. Math. J. 64 (2012), no. 10, 1562-1571.
13. Yu.S. Kolomoitsev, R.M. Trigub. On the nonclassical approximation method for periodic functions by trigonometric polynomials. (Russian) Ukr. Mat. Visn. 9 (2012), no. 3, 356-374; translation in J. Math. Sci. 188 (2013), no. 2, 113-127.
14. Yu.S. Kolomoitsev. On one sufficient condition for multipliers in Hardy space. (Russian) Tr. Inst. Prikl. Mat. Mekh. NAN Ukrainy 23 (2011), 130-135.
15. Yu.S. Kolomoitsev. On the approximation of functions by generalized Bochner-Riesz means in Hardy spaces H_p, 0 < p ≤ 1. (Russian) Dopov. Akad. Nauk Ukr.(2011), no. 7, 17-22.
16. Yu.S. Kolomoitsev. On moduli of smoothness and K-functionals of fractional order in the Hardy spaces. (Russian) Ukr. Mat. Visn. 8 (2011), no. 3, 421-446; translation in J. Math. Sci. 181 (2012), no. 1, 78-79.
17. Yu.S. Kolomoitsev. On some summability methods for power series in Hardy space H_p(D_n). (Russian) Tr. Inst. Prikl. Mat. Mekh. NAN Ukrainy 22 (2011), 125-130.
18. V.A. Gerasimenko, Yu.S. Kolomoitsev. On equivalence of K-functionals and approximation methods generated by generalized Bochner-Riesz kernels. (Russian) Visn. Khark. Univ., Ser. Mat. Prykl. Mat. Mekh. 922 (2010), 56-64.
19. Yu.S. Kolomoitsev. On two-sided estimates of approximation of functions by generalized Bochner-Riesz means in H_p, p ≤ 1. (Russian) Tr. Inst. Prikl. Mat. Mekh. NAN Ukrainy 20 (2010), 116-123.
20. Yu.S. Kolomoitsev. On approximation of functions by trigonometric polynomials with incomplete spectrum in L_p, 0 < p < 1. (Russian) Zap. Nauchn. Sem. POMI., 366 (2009), 67-83; translation in J. Math. Sci. 165 (2010), no. 4, 463-472.
21. Yu.S. Kolomoitsev, V.I. Ryazanov. Uniqueness of approximate solutions of the Beltrami equations. Tr. Inst. Prikl. Mat. Mekh. NAN Ukrainy 19 (2009), 116-124.
22. Yu.S. Kolomoitsev. Estimates of the best approximation of functions by trigonometric polynomials with spectral gaps in L_p, 0 < p < 1. (Russian) Tr. Inst. Prikl. Mat. Mekh. NAN Ukrainy 16 (2008), 103-111.
23. Yu.S. Kolomoitsev. Nikol’skii-Stechkin-Boas type inequality with a fractional derivative in L_p, 0 < p < 1. (Russian) Tr. Inst. Prikl. Mat. Mekh. NAN Ukrainy 15 (2007), 115-119.
24. Yu.S. Kolomoitsev. Completeness of the trigonometric system for the classes φ(L). (Russian) Mat. Zametki 81 (2007), no. 5, 707-712; translation in Math. Notes 81 (2007), no. 5, 632-637.
25. Yu.S. Kolomoitsev. On the boundedness of the constant of the best approximation in L_p, 0 < p < 1. (Russian) Tr. Inst. Prikl. Mat. Mekh. NAN Ukrainy 14 (2007), 117-121.
26. Yu.S. Kolomoitsev. On moduli of smoothness and Fourier multipliers in L_p, 0 < p < 1. (Russian) Ukr. Mat. Zh. 59 (2007), no. 9, 1221-1238; translation in Ukr. Math. J. 59 (2007), no. 9, 1364-1384.
27. Yu.S. Kolomoitsev. On non-comparability of linear differential operators in L_p, 0 < p < 1. (Russian) Vestn. Dnepr. Univ., Ser. Mat. (2006), no. 11, 38-45.
28. Yu.S. Kolomoitsev. On multipliers and moduli of smoothness in L_p for 0 < p < 1. (Russian) Dopov. Akad. Nauk Ukr. (2006), no. 1, 17-22.
29. Yu.S. Kolomoitsev. Some problems of approximation of functions by trigonometric polynomials in L_p, 0 < p < 1. (Russian) Izvestiya of the Tula State University., Ser. Mathematics. Mechanics. Informatics. Tula: TSU 11 (2005), no. 1, 160-169.
30. Yu.S. Kolomoitsev. Description of a class of functions with the condition ωr(f, h)p ≤ Mhr−1+1/p for 0 < p < 1. (Russian) Vestn. Dnepr. Univ., Ser. Mat. (2003), no. 8, 31-43.