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Öğe Bernstein operator of rough J-core of triple sequences(E D P Sciences, 2018) Ozdemir, M. Kemal; Esi, Ayhan; Esi, AytenWe introduce and study some basic properties of Bernstein-Stancu polynomials of rough J-convergent of triple sequence spaces and also study the set of all Bernstein-Stancu polynomials of rough J-limits of a triple sequence spaces and relation between analytic ness and Bernstein-Stancu polynomials of rough J-core of a triple sequence spaces.Öğe Korovkin-type Approximation Theorem for Bernstein Stancu Operator of Rough Statistical Convergence of Triple Sequence(Soc Paranaense Matematica, 2020) Esi, Ayten; Ozdemir, M. Kemal; Subramanian, NagarajanWe obtain a Korovkin-type approximation theorem for Bernstein Stancu polynomials of rough statistical convergence of triple sequences of positive linear operators of three variables from H-omega (K) to C-B (K), where K = [0, infinity) x [0, infinity) x [0, infinity) and omega is non-negative increasing function on K.Öğe On rough convergence variables of triple sequences(E D P Sciences, 2018) Ozdemir, M. Kemal; Esi, Ayhan; Esi, AytenTriple sequence convergence has an extremly important position in the basic theory of mathematics. The present manuscript contains four types of convergence concept of convergence almost surely, convergence incredibility, trust convergence in mean and convergence in distribution and discuss the relation ship among those and some mathematical properties of those new convergence.Öğe On Some New Double Spaces of ?-convergent and ?-bounded Sequences defined by Orlicz function(Amer Inst Physics, 2013) Ozdemir, M. Kemal; Esi, Ayhan; Esi, AytenIn this paper, we introduce some new double sequence spaces defined by Orlicz function and study different properties of these spaces and also establish some inclusion results among them.Öğe The (p, q)-Bernstein-Stancu Operator of Rough Statistical Convergence on Triple Sequence(Soc Paranaense Matematica, 2020) Esi, Ayten; Ozdemir, M. Kemal; Subramanian, NagarajanIn the paper, we investigate rough statistical approximation properties of (p, q)-analogue of Bernstein-Stancu Operators. We study approximation properties based on rough statistical convergence. We also study error bound using modulus of continuity.
