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2015 -Research
CesARo Mean of Product Summability of Partial Differential Equations of Sequences
In [4], the definition of product summability method (Γ°Ββ«ðΒβΒ«,Γ°ΒβΕΓ°ΒβΕ)(Γ°ΒβΒͺΓ°ΒβΒͺ,Γ°ΒβΒΓ°ΒβΒ) for functions was given and some of its properties were investigated. In [2], (Γ°Ββ«ðΒβΒ«,Γ°ΒβΕΓ°ΒβΕ)(Γ°ΒβΒͺΓ°ΒβΒͺ,Γ°ΒΕΒΆΓ°ΒΕΒΆ,Γ°ΒΕΒ·Γ°ΒΕΒ·) (k > 0, ΓΒ± > 0, ΓΒ² > Γ’Λβ1) summability for functions are defined and some of its properties were investigated. In [1], the CesΓ°ΒββΓ°ΒββΓβ‘ro means and CesΓ°ΒββΓ°ΒββΓβ‘ro summability were discussed for sequences. In this paper, we study some results of CesΓ°ΒββΓ°ΒββΓβ‘ro mean of product summability (Γ°Ββ«ðΒβΒ«,Γ°ΒβΕΓ°ΒβΕ)(Γ°ΒβΒͺΓ°ΒβΒͺ,Γ°ΒΕΒΆΓ°ΒΕΒΆ,Γ°ΒΕΒ·Γ°ΒΕΒ·) (k > 0, ΓΒ± > 0, ΓΒ² > Γ’Λβ1) of partial differential equations of sequences.
Some Remarks on Product Summability of Sequences
In [4], the definition of product summability method (Γ°Ββ«ðΒβ«ðΒβ«ðΒβΒ«,Γ°ΒβΕΓ°ΒβΕΓ°ΒβΕΓ°ΒβΕ)(C,l) for functions was given and some of its properties were investigated. In [2], summability for functions are defined and some of its properties are investigated. In this paper summability for sequences are defined and some of its investigated.
