The College of Education for Pure Sciences at the University of Basrah in the Department of Mathematics discussed the sequential work of the Szasz sequence
The letter submitted by (Iman Hashim Jassim) included
This thesis presented generalizations for the Zaz sequence by increasing the sum of the sequence within an appropriate context resulting from the double and multiple summation of this sequence. The frequency relationship of the order, the convergence theorem, Voronovskaya's theorem in approximation were studied, and the error resulting from the approximation was calculated using the continuity measure. Numerical examples were presented to show the convergence of the general sequence to the chosen test function. The numerical results showed that the new sequences are superior to the test function approximation compared to the numerical results of the normal sequence, although they have the same approximation order. The numerical results are described by graphing the test function and its approximations obtained from the regular, binary, and triple Zaz sequences. The error resulting from the approximation of these sequences was also explained by drawing the error functions resulting from these sequences. As a result, the preference for numerical results was for follow-up.
Also, this thesis provided generalizations for the Zaz sequence with the parameter by increasing the sum of the sequence within the same previous context, as that resulted in the double and multiple combination of the new sequence with the parameter. The same previous theorems for the new sequence were studied. Numerical examples were also presented and the numerical results of these examples were studied with the study of the error resulting from the approximation of this sequence. As a result, the preference for numerical results was for follow-up.