Almost everywhere convergence of some subsequences of Fejér means for integrable functions on some unbounded Vilenkin groups
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Nacima Memić
Abstract
Following the methods of G. Gát, in this work we prove the a.e convergence of the subsequence
Acknowledgement
I would like to thank the referees for their valuable remarks and comments.
References
[1] Gát, G.: Almost everywhere convergence of Fejér means of L1 functions on rarely unbounded Vilenkin groups, Acta Math. Sin. 23 (2007), 2269–2294.10.1007/s10114-007-0961-5Suche in Google Scholar
[2] Gát, G.: Cesàro means of integrable functions with respect to unbounded Vilenkin systems, J. Approx. Theory. 124 (2003), 25–43.10.1016/S0021-9045(03)00075-3Suche in Google Scholar
[3] Gát, G.: Pointwise convergence of the Fejér means of functions on unbounded Vilenkin groups, J. Approx. Theory. 101 (1999), 1–36.10.1006/jath.1999.3346Suche in Google Scholar
[4] Pál, J.—Simon, P.: On a generalization of the concept of derivative, Acta Math. Acad. Sci. Hungar. 29 (1977), 155–164.10.1007/BF01896477Suche in Google Scholar
[5] Young, W. S.: Mean convergence of generalized Walsh-Fourier series, Trans. Amer. Math. Soc. 218 (1976), 311–320.10.1090/S0002-9947-1976-0394022-8Suche in Google Scholar
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Artikel in diesem Heft
- State hoops
- On derivations of partially ordered sets
- Interior and closure operators on commutative basic algebras
- When is the cayley graph of a semigroup isomorphic to the cayley graph of a group
- Sequences of cantor type and their expressibility
- δ-Fibonacci and δ-lucas numbers, δ-fibonacci and δ-lucas polynomials
- Law of inertia for the factorization of cubic polynomials – the case of primes 2 and 3
- Closed hereditary coreflective subcategories in epireflective subcategories of Top
- Method of upper and lower solutions for coupled system of nonlinear fractional integro-differential equations with advanced arguments
- Difference of two strong Światkowski lower semicontinuous functions
- Fejér-type inequalities (II)
- Representation of maxitive measures: An overview
- On a conjecture of Y. H. Cao and X. B. Zhang
- On the generalized orthogonal stability of the pexiderized quadratic functional equations in modular spaces
- Almost everywhere convergence of some subsequences of Fejér means for integrable functions on some unbounded Vilenkin groups
- Homological properties of banach modules over abstract segal algebras
- Variable Hajłasz-Sobolev spaces on compact metric spaces
- Commuting pairs of self-adjoint elements in C*-algebras
- Additivity of maps preserving products AP ± PA* on C*-algebras
- A note on derived connections from semi-symmetric metric connections
- Lindelöf P-spaces need not be Sokolov
- Strong convergence properties for arrays of rowwise negatively orthant dependent random variables
- Least absolute deviations problem for the Michaelis-Menten function
- Congruence pairs of principal p-algebras
