2015 **Abstract:** The aim of this paper is to present Korovkin type theorems on approximatin of continuous functions with the use of A−statistical convergence and matrix summability method which includes both convergence and almost convergence. Since statistical convergence and almost convergence methods are incompatible, we conclude that these methods can be used alternatively to get some approximation results.

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“…() Solvability of boundary value problems for differential equations with discontinuous coefficients were investigated by M. L. Rasulov() in monographs. Various spectral properties of boundary‐transmission problems and its applications were investigated by the authors of this study and some others (see, for example, previous works ()). Note that in the series of S. Yakubov and Y. Yakubov's works, an abstract theory of boundary value problems with an eigenvalue parameter in the boundary conditions has been constructed.…”

confidence: 94%

“…() Solvability of boundary value problems for differential equations with discontinuous coefficients were investigated by M. L. Rasulov() in monographs. Various spectral properties of boundary‐transmission problems and its applications were investigated by the authors of this study and some others (see, for example, previous works ()). Note that in the series of S. Yakubov and Y. Yakubov's works, an abstract theory of boundary value problems with an eigenvalue parameter in the boundary conditions has been constructed.…”

confidence: 94%

“…Related works [11][12][13][14][15][16][17][18] are devoted to the study of the spectral properties of eigenvalues and eigenfunctions of the classical Sturm-Liouville problems (ie, when p(x) = 0 and Δ(x) ≡ 0).…”

confidence: 99%

“…The one-dimensional timeindependent Schrödinger equation in quantum mechanics can be given as an example of SL equation. Significant results have been obtained by many mathematicians over the years regarding the SL equation (see [25][26][27][28][29][30][31][32][33][34][35][36]). This equation has not yet been addressed in multiplicative calculus.…”

confidence: 99%