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View article: On the Solution of a Class of Discontinuous Sturm-Liouville Problems
On the Solution of a Class of Discontinuous Sturm-Liouville Problems Open
This study examines boundary value problems consisting of a second-order differential equation with discontinuous coefficients and boundary conditions. Asymptotic formulas for the eigenvalues and eigenfunctions of the problem are derived, …
View article: Nonlinear Approximation by $q$-Favard-Sz{\'a}sz-Mirakjan Operators of Max-Product Kind
Nonlinear Approximation by $q$-Favard-Sz{\'a}sz-Mirakjan Operators of Max-Product Kind Open
In this study, nonlinear $q$-Favard-Sz{\'a}sz-Mirakjan operators of max-product kind are defined and approximation properties of these operators are investigated. Classical approximation and $A$-statistical approximation theorems are given.
View article: On the solutions of the q-analogue of the telegraph differential equation
On the solutions of the q-analogue of the telegraph differential equation Open
In this work, q-analogue of the telegraph differential equation is investigated. The approximation solution of q-analogue of the telegraph differential equation is founded by using the Laplace transform collocation method (LTCM). Then, the…
View article: ON A q-BOUNDARY VALUE PROBLEM WITH DISCONTINUITY CONDITIONS
ON A q-BOUNDARY VALUE PROBLEM WITH DISCONTINUITY CONDITIONS Open
In this paper, we studied q-analogue of Sturm–Liouville boundary value problem on a finite interval having a discontinuity in an interior point. We proved that the q-Sturm–Liouville problem is self-adjoint in a modified Hilbert space. We i…
View article: Approximation for the Bernstein operator of max-product kind in symmetric range
Approximation for the Bernstein operator of max-product kind in symmetric range Open
In the approximation theory, polynomials are particularly positive linear operators. Nonlinear positive operators by means of maximum and product were introduced by B. Bede. In this paper, the max-product of Bernstein operators for symmetr…
View article: Approximation properties of Bernstein-Kantorovich type operators of two variables
Approximation properties of Bernstein-Kantorovich type operators of two variables Open
In this study, the generalized Bernstein-Kantorovich type operatorsare introduced and some approximation properties of these operatorsare studied in the space of continuous functions of two variables ona compact set . The convergence rate …