ON THE POWER INTEGRABILITY WITH WEIGHT OF DOUBLE TRIGONOMETRIC SERIES

키워드

참고문헌 (40)

1. N. A. Bokayev, "Weighted integrability of double trigonometric series and of double series with respect to multiplicative systems with coefficients of class R+0 BV S2", Translation of Mat. Zametki, 91(4), pp.617~620 (2012)
2. R. Guo, "Double trigonometric series and Zygmund classes of functions with two variables", Bull. Math. Anal. Appl, 3(4), pp.201~212 (2011)
3. D. Han, "Double sine series and higher order Lipschitz classes of functions", Bull. Math. Anal. Appl, 5(1), pp.10~21 (2013)
4. J. L. He, "On L1-convergence of double sine series", Acta Math. Hungar, 143(1), pp.107~118 (2014)
5. Xh. Z. Krasniqi, "On some sufficient conditions for L1-convergence of double sine series", An. Stiint. Univ. Al. I. Cuza Iasi. Mat. (N.S.), 63(2), pp.361~375 (2017)
6. Xh. Z. Krasniqi, "On Lp-integrability of a special double sine series formed by its blocks, translated from Izv", Nats. Akad. Nauk Armenii Mat, 52(1), pp.59~67 (2017)
7. "Anal. Theory Appl", 2015, 299~306
8. Xh. Z. Krasniqi, "On a class of double trigonometric series of functions of bounded variation", East J. Approx, 17(4), pp.377~384 (2012)
9. Xh. Z. Krasniqi, "Integrability of double cosine trigonometric series with coefficients of bounded variation of second order", Comment. Math, 51(2), pp.125~139 (2011)
10. Xh. Z. Krasniqi, "On the integrability with weight of trigonometric series", J. Contemp. Math. Anal. (Armenian Academy of Sciences), 55(3), pp.179~188 (2020)
11. P. Korus, "On the uniform convergence of double sine series with generalized monotone coefficients", Period. Math. Hungar, 63(2), pp.205~214 (2011)
12. P. Korus, "On the uniform convergence of double sine series", Studia Math, 193(1), pp.79~97 (2009)
13. L. Leindler, "Two embedding theorems", Acta Sci. Math. (Szeged), 71(3-4), pp.619~630 (2005)
14. L. Leindler, "Uber verschiedene Konvergenzarten trigonometrischer Reihen. III. Bedingungen in der Metrik von Lp (German)", Acta Sci. Math. (Szeged), 27, pp.205~215 (1966)
15. L. Leindler, "Embedding results regarding strong approximation of sine series", Acta Sci. Math. (Szeged), 71, pp.91103~ (2005)
16. L. Leindler, "On the uniform convergence of single and double sine series", Acta Math. Hungar, 140(3), pp.232~242 (2013)
17. M. M. H. Marzuq, "Integrability theorem of multiple trigonometric series", J. Math. Anal. Appl, 157(2), pp.337~345 (1991)
18. L. N. Mishra, "On existence and behavior of solutions to some nonlinear integral equations with applications", Ph.D, pp.2017
19. V. N. Mishra, "Some Problems on Approximations of Functions in Banach Spaces", Ph.D, pp.2007
20. V. N. Mishra, "Trigonometric approximation of signals (functions) in Lp-norm", Int. J. Contemp. Math. Sci, 7(17-20), pp.909~918 (2012)
21. L. N. Mishra, "Deepmala, On the trigonometric approximation of signals belonging to generalized weighted Lipschitz W(Lr, ξ(t))(r ≥ 1)-class by matrix (C1 · Np) operator of conjugate series of its Fourier series", Appl. Math. Comput, 237, pp.252~263 (2014)
22. V.N. Mishra, "Deepmala, Trigonometric approximation of periodic Signals belonging to generalized weighted Lipschitz W0(Lr, ξ(t)), (r ≥ 1)-class by Norlund-Euler (N, pn)(E, q) operator of conjugate series of its Fourier series", J. Class. Anal., 5(2), pp.91~105 (2014)
23. Deepmala, "Trigonometric Approximation of Signals (Functions)belonging to the W(Lr, ξ(t)), (r ≥ 1)- class by (E, q), (q > 0) means of the conjugate series of its Fourier series, GJMS Special Issue for Recent Advances in Mathematical Sciences and Applications-13", Global Journal of Mathematical Sci-ences, 2(2), pp.61~69 (2014)
24. F. Moricz, "Double Walsh series with coefficients of bounded variation", Z. Anal. An-wendungen, 10(1), pp.3~10 (1991)
25. F. Moricz, "On double cosine, sine, and Walsh series with monotone coefficients", Proc. Amer. Math. Soc, 109(2), pp.417~425 (1990)
26. F. Moricz, "Integrability of double lacunary sine series", Proc. Amer. Math. Soc, 110, pp.355~364 (1990)
27. F. Moricz, "On the integrability of double cosine and sine series I", J. Math. Anal. Appl, 154, pp.452~465 (1991)
28. F. Moricz, "On the integrability and L1-convergence of double trigonometric series", Acta Math Hungar., 69, pp.99~110 (1995)
29. C.-Pao Chen, "Two-parameter Hardy-Littlewood inequality and its variants", Studia Math, 139(1), pp.9~27 (2000)
30. C.-Pao Chen, "Weighted integrability of double trigonometric series", Proc. Amer. Math. Soc, 127(5), pp.1463~1471 (1999)
31. C.-Pao Chen, "Uniform convergence of double trigonometric series", Stu-dia Math, 118(3), pp.245~259 (1996)
32. C.-Pao Chen, "Weighted integrability and L1-convergence of multiple trigonometric series", Studia Math, 108(2), pp.177~190 (1994)
33. C.-Pao Chen, "Weighted integrability of double cosine series with nonnegative coefficients", Studia Math, 156(2), pp.133~141 (2003)
34. K. F. Papp, "Lebesgue integrability theorems for double trigonometric series", Acta Sci. Math. (Szeged), 61, pp.331~344 (1995)
35. M. K. Potapov, "A certain imbedding theorem", Mathematica (Cluj), 14(37), pp.123~146 (1972)
36. B. Ram, "On weighted integrability of double cosine series", J. Math. Anal. Appl, 208(2), pp.510~519 (1997)
37. F. Vanda, "Double cosine series with nonnegative coefficients", Acta Sci. Math. (Szeged), 70(1-2), pp.91~100 (2004)
38. F. Vanda, "Double sine and cosine-sine series with nonnegative coefficients", Acta Sci. Math. (Szeged), 70(1-2), pp.101~116 (2004)
39. D. Yu, "Mean bounded variation condition and applications in double trigonometric series", Anal. Math, 38(2), pp.83~104 (2012)
40. D. Yu, "Double trigonometric series with positive coefficients", Anal. Math, 35(2), pp.149~167 (2009)

관련 논문AI추천