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References
C. Bardaro -G. Vinti,On approximation properties of certain non convolution integral operators, J. Approx. Theory,62, No. 3, (1990), pp. 358–371.
C. Bardaro -G. Vinti,Modular estimates of integral operators with homogeneous kernel in Orlicz type spaces, Results Math.,19 (1991), pp. 46–53.
C. Bardaro -G. Vinti,Some estimates of certain integral operators in generalized fractional Orlicz classes, Numer. Funct. Anal. Optimiz.,12 (1991), pp. 443–453.
C. Bardaro -G. Vinti,Modular convergence theorems in fractional Musielak-Orlicz spaces, Z. Analysis Anw.,13 (1994), pp. 155–170.
P. L. Butzer -R. J. Nessel,Fourier Analysis and Approximation, Academic Press, New York-London (1971).
P. L. Butzer -F. Fehér,Generalized Hardy and Hardy-Littlewood inequalities in rearrangement-invariant spaces, Comment. Math. Prace Univ. Tomus specialis in Honorem L. Orlicz I (1978), pp. 41–64.
E. T. Copson,Some integral inequalities, Proc. Roy. Soc. Edimburgh, Sect. A,75 (1975/76), pp. 157–164.
F. Fehér,A note on a paper of E.R. Love, Bull. Austral. Math. Soc.,19 (1978), pp. 67–75.
F. Fehér,A generalized Schur-Hardy inequality on normed Kothe spaces, General Inequalities II, (Proc. 2nd. Int. Conf. on General Inequalities, Oberwolfach, 1978), Birkhauser, Basel, (1980), pp. 277–285.
T. M. Flett,A note on some inequalities, Proc. Glasgow Math. Assoc.,4 (1958), pp. 715.
W. M. Kozlowski,Modular Function Spaces, Pure Appl. Math. Marcel Dekker, New York and Basel (1988).
E. R. Love,Some inequalities for fractional integrals, Linear Spaces and Approximation, (Proc. Conf. Math. Research Institute Oberwolfach, 1977, 177–184), International Series of Numerical Mathematics,40, Birkhauser Verlag, Basel, Stuttgart (1978).
E. R.Love,Links between some generalizations of Hardy's integral inequality, General inequalities IV (Proc. 4th International Conference on General Inequalities, Oberwolfach, Basel, 1984), pp. 47–57.
J. Mikusinski,Operational Calculus, Pergamon Press, Warszava (1959).
H.Musielak - J.Musielak,An application of a Bernstein-type inequality for fractional derivatives to some problems of modular spaces, Constructive Function Theory '77, Sofia (1980), pp. 427–432.
J.Musielak,Orlicz spaces and modular spaces, Lecture Notes in Math.,1034, Springer-Verlag (1983).
K. B. Oldham -J. Spanier,The Fractional Calculus, Academic Press, New York (1974).
E. L. Radzhabov,On generalization of the operators of Fractional integration and differentiation, Applicable Analysis,45 (1992), pp. 229–242.
V. Zanelli,I polinomi di Stieltjes approssimanti in variazione di ordine non intero, Atti Sem. Mat. Fis. Univ. Modena,30 (1981), pp. 151–175.
V. Zanelli,Funzioni momenta convergenti dal basso in variazione di ordine non intero, Atti Sem. Mat. Fis. Univ. Modena,30 (1981), pp. 355–369.
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Bardaro, C., Vinti, G. Some inclusion theorems for Orlicz and Musielak-Orlicz type spaces. Annali di Matematica pura ed applicata 168, 189–203 (1995). https://doi.org/10.1007/BF01759260
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DOI: https://doi.org/10.1007/BF01759260