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6: Paper Source PDF document

Paper's Title:

On A Conjecture of A Logarithmically Completely Monotonic Function

Author(s):

Valmir Krasniqi, Armend Sh. Shabani

Department of Mathematics,
University of Prishtina,
Republic of Kosova

E-mail: vali.99@hotmail.com  
armend_shabani@hotmail.com

Abstract:

In this short note we prove a conjecture, related to a logarithmically completely monotonic function, presented in [5]. Then, we extend by proving a more generalized theorem. At the end we pose an open problem on a logarithmically completely monotonic function involving q-Digamma function.



2: Paper Source PDF document

Paper's Title:

On the Degree of Approximation of Continuous Functions that Pertains to the Sequence-To-Sequence Transformation

Author(s):

Xhevat Z. Krasniqi

University of Prishtina,
Department of Mathematics and Computer Sciences,
5 Mother Teresa Avenue, Prishtinė, 10000,
Republic of Kosovo.
 

xheki00@hotmail.com

Abstract:

In this paper we prove analogous theorems like Leindler's 3 using the so-called A-transform of the B-transform of the partial sums of Fourier series. In addition, more than two such transforms are introduced and for them analogous results are showed as well.



2: Paper Source PDF document

Paper's Title:

On The Degree of Approximation of Periodic Functions from Lipschitz and Those from Generalized Lipschitz Classes

Author(s):

Xhevat Z. Krasniqi

Faculty of Education,
University of Prishtina "Hasan Prishtina",
Avenue "Mother Theresa " no. 5, Prishtin
ė 10000,
Republic of Kosovo.
E-mail: xhevat.krasniqi@uni-pr.edu

Abstract:

In this paper we have introduced some new trigonometric polynomials. Using these polynomials, we have proved some theorems which determine the degree of approximation of periodic functions by a product of two special means of their Fourier series and the conjugate Fourier series. Many results proved previously by others are special case of ours.


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