Browsing by Publisher "University of Nis"
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Item Onweak and strong convergence of an explicit iteration process for a total asymptotically quasi-I-nonexpansive mapping in banach space(University of Nis, 2014) Kiziltunc H.In this paper, we introduce a new class of Lipschitzian maps and prove some weak and strong convergence results for explicit iterative process using a more satisfactory definition of self mappings. Our results approximate common fixed point of a total asymptotically quasi-I-nonexpansive mapping T and a total asymptotically quasi-nonexpansive mapping I, defined on a nonempty closed convex subset of a Banach space. © 2014, University of Nis. All rights reserved.Item Tauberian theorems for statistically (C, 1)-convergent sequences of fuzzy numbers(University of Nis, 2014) Talo Ö.; Çakan C.In this paper, we have determined necessary and sufficient Tauberian conditions under which statistically convergence follows from statistically (C, 1)-convergence of sequences of fuzzy numbers. Our conditions are satisfied if a sequence of fuzzy numbers is statistically slowly oscillating. Also, under additional conditions it is proved that a bounded sequence of fuzzy numbers which is (C, 1)-level-convergent to its statistical limit superior is statistically convergent. © 2014, University of Nis. All rights reserved.Item On statistical convergence of double sequences of closed sets(University of Nis, 2016) Sever Y.; Talo Ö.In this paper, we introduce the concepts of statistical inner and statistical outer limits for double sequences of closed sets and give some formulas for finding these limits. Also, we give the Kuratowski statistical convergence of double sequences of sets by means of the statistical inner and statistical outer limits of a double sequence of closed sets. © 2016, University of Nis. All rights reserved.Item On statistical summability (N, P) of sequences of fuzzy numbers(University of Nis, 2016) Talo Ö.; Bal C.In this paper we introduce the concept of statistical summability (N, p) of sequences of fuzzy numbers. We also present Tauberian conditions under which statistical convergence of a sequence of fuzzy numbers follows from its statistical summability (N, p). Furthermore, we prove a Korovkin-type approximation theorem for fuzzy positive linear operators by using the notion of statistical summability (N, p). © 2016, University of Nis. All rights reserved.Item On statistically convergent sequences of closed sets(University of Nis, 2016) Talo Ö.; Sever Y.; Başar F.In this paper, we give the definitions of statistical inner and outer limits for sequences of closed sets in metric spaces. We investigate some properties of statistical inner and outer limits. For sequences of closed sets if its statistical outer and statistical inner limits coincide, we say that the sequence is Kuratowski statistically convergent. We prove some proporties for Kuratowski statistically convergent sequences. Also, we examine the relationship between Kuratowski statistical convergence and Hausdorff statistical convergence. © 2016, University of Nis. All rights reserved.Item A study on motion of a robot end-effector using the curvature theory of dual unit hyperbolic spherical curves(University of Nis, 2016) Sahiner B.; Kazaz M.; Ugurlu H.H.In this paper we study the motion of a robot end-effector by using the curvature theory of a dual unit hyperbolic spherical curve which corresponds to a timelike ruled surface with timelike ruling generated by a line fixed in the end-effector. In this way, the linear and angular differential properties of the motion of a robot end-effector such as velocities and accelerations which are important information in robot trajectory planning are determined. Moreover, the motion of a robot end-effector which moves on the surface of a right circular hyperboloid of one sheet is examined as a practical example. © 2016, University of Nis. All rights reserved.Item A matrix approach to solving hyperbolic partial differential equations using Bernoulli polynomials(University of Nis, 2016) Bicer K.E.; Yalcinbas S.The present study considers the solutions of hyperbolic partial differential equations. For this, an approximate method based on Bernoulli polynomials is developed. This method transforms the equation into the matrix equation and the unknown of this equation is a Bernoulli coefficients matrix. To demostrate the validity and applicability of the method, an error analysis developed based on residual function. Also examples are presented to illustrate the accuracy of the method. © 2016, University of Nis. All rights reserved.Item On kuratowski I–convergence of sequences of closed sets(University of Nis, 2017) Talo Ö.; Sever Y.In this paper we extend the concepts of statistical inner and outer limits (as introduced by Talo, Sever and Başar) to I–inner and I–outer limits and give some I–analogue of properties of statistical inner and outer limits for sequences of closed sets in metric spaces, where I is an ideal of subsets of the set N of positive integers. We extend the concept of Kuratowski statistical convergence to Kuratowski I–convergence for a sequence of closed sets and get some properties for Kuratowski I–convergent sequences. Also, we examine the relationship between Kuratowski I–convergence and Hausdorff I–convergence. © 2017, University of Nis. All rights reserved.Item Tauberian theorems for Lambert and zeta summability methods in fuzzy number space(University of Nis, 2017) Yavuz E.We extend Lambert and zeta summability methods to space of fuzzy numbers and prove Tauberian theorems for Lambert and zeta summability methods of fuzzy numbers, the one for zeta summability method providing a new proof when the sequence is of real numbers. © 2017, University of Nis. All rights reserved.Item On the almost everywhere statistical convergence of sequences of fuzzy numbers(University of Nis, 2019) Talo Ö.In this paper, we define the concept of almost everywhere statistical convergence of a sequence of fuzzy numbers and prove that a sequence of fuzzy numbers is almost everywhere statistically convergent if and only if its statistical limit inferior and limit superior are equal. To achieve this result, new representations for statistical limit inferior and limit superior of a sequence of fuzzy numbers are obtained and we show that some properties of statistical limit inferior and limit superior can be easily derived from these representations. © University of Nis. All rights reserved.Item Statistical Weighted Mean Summability of Double Sequences of Fuzzy Numbers(University of Nis, 2021) Talo Ö.; Şen A.; Çoşkun H.In this paper, we present statistical weighted mean (briefly, (N, p, q, 1, 1)) summability method for double sequences of fuzzy numbers and give necessary and sufficient Tauberian conditions under which statistical convergence of a double sequence of fuzzy numbers follows from its statistical (N, p, q, 1, 1) summability. Furthermore, we apply our new method of summability to prove a fuzzy Korovkin type approximation theorem for a double sequence of fuzzy positive linear operators. © 2021, University of Nis. All rights reserved.Item Statistical convergence on L−fuzzy normed space(University of Nis, 2023) Yapalı R.; Çoşkun H.; Gürdal U.In this paper, we study the concept of statistical convergence on L−fuzzy normed spaces. Then we give a useful characterization for statistically convergent sequences. Furthermore, we illustrate that our method of convergence is more general than the usual convergence on L−fuzzy normed spaces. © 2023, University of Nis. All rights reserved.