Search

Your search keyword '"Colak, Rifat"' showing total 15 results
Start Over Author "Colak, Rifat"
15 results on '"Colak, Rifat"'

1. λ—Statistical Derivative

Author

Idris, Samar, Çolak, Rifat, Kacprzyk, Janusz, Series Editor, Gomide, Fernando, Advisory Editor, Kaynak, Okyay, Advisory Editor, Liu, Derong, Advisory Editor, Pedrycz, Witold, Advisory Editor, Polycarpou, Marios M., Advisory Editor, Rudas, Imre J., Advisory Editor, Wang, Jun, Advisory Editor, Giri, Debasis, editor, Vaidya, Jaideep, editor, Ponnusamy, S., editor, Lin, Zhiqiang, editor, Joshi, Karuna Pande, editor, and Yegnanarayanan, V., editor

Published
2024
Full Text
View/download PDF

2. Some Relations Between the Sets of f-Statistically Convergent Sequences

Author

Çolak, Rifat, Kacprzyk, Janusz, Series Editor, Pal, Nikhil R., Advisory Editor, Bello Perez, Rafael, Advisory Editor, Corchado, Emilio S., Advisory Editor, Hagras, Hani, Advisory Editor, Kóczy, László T., Advisory Editor, Kreinovich, Vladik, Advisory Editor, Lin, Chin-Teng, Advisory Editor, Lu, Jie, Advisory Editor, Melin, Patricia, Advisory Editor, Nedjah, Nadia, Advisory Editor, Nguyen, Ngoc Thanh, Advisory Editor, Wang, Jun, Advisory Editor, Dutta, Hemen, editor, Hammouch, Zakia, editor, Bulut, Hasan, editor, and Baskonus, Haci Mehmet, editor

Published
2020
Full Text
View/download PDF

4. summability in Metric Spaces

Author

Kayan, Emine, Çolak, Rifat, Chen, Phoebe, Series editor, Du, Xiaoyong, Series editor, Filipe, Joaquim, Series editor, Kara, Orhun, Series editor, Kotenko, Igor, Series editor, Liu, Ting, Series editor, Sivalingam, Krishna M., Series editor, Washio, Takashi, Series editor, Giri, Debasis, editor, Mohapatra, Ram N., editor, Begehr, Heinrich, editor, and Obaidat, Mohammad S., editor

Published
2017
Full Text
View/download PDF

11. A New Type Generalized Difference Sequence Space $m\left( \phi,p\right) \left( \Delta_{m}^{n}\right) $

Author

ET, Mikail and COLAK, Rifat

Subjects
Difference sequence,BK-space,Symmetric space,Normal space, Engineering, Mühendislik
Abstract

Let $\left( \phi_{n}\right) $ be a non-decreasing sequence of positive numbers such that $n\phi_{n+1}\leq \left( n+1\right) \phi_{n}$ for all $n\in \mathbb{N}$. The class of all sequences $\left( \phi_{n}\right) $ is denoted by $\Phi$. The sequence space $m\left( \phi \right) $ was introduced by Sargent [1] and he studied some of its properties and obtained some relations with the space $\ell_{p}$. Later on it was investigated by Tripathy and Sen [2] and Tripathy and Mahanta [3]. In this work, using the generalized difference operator $\Delta_{m}^{n}$, we generalize the sequence space $m\left( \phi \right) $ to sequence space $ m\left( \phi,p\right) \left( \Delta _{m}^{n}\right) ,$ give some topological properties about this space and show that the space $m\left( \phi,p\right) \left( \Delta_{m}^{n}\right) $ is a $BK-$space by a suitable norm$.$ The results obtained are generalizes some known results.

Published
2019

12. A new notion of convergence defined by weak Fibonacci lacunary statistical convergence in normed spaces.

Author

Ibrahim, Ibrahim S., Listán-García, María C., and Colak, Rifat

Subjects
*FIBONACCI sequence, *NORMED rings, *MATHEMATICAL sequences, *OPTIMIZATION algorithms, *SEQUENCE spaces, *SUMMABILITY theory
Abstract

The applications of a Fibonacci sequence in mathematics extend far beyond their initial discovery and theoretical significance. The Fibonacci sequence proves to be a versatile tool with real-world implications and the practical utility of manifests in various fields, including optimization algorithms, computer science and finance. In this research paper, we introduce new versions of convergence and summability of sequences in normed spaces with the help of the Fibonacci sequence called weak Fibonacci φ-lacunary statistical convergence and weak Fibonacci φ-lacunary summability, where φ is a modulus function under certain conditions. Furthermore, we obtain some relations related to these concepts in normed spaces. [ABSTRACT FROM AUTHOR]

Published
2024
Full Text
View/download PDF

14. λ (Δim)-Statistical Convergence of Order α.

Author

Colak, Rifat, Et, Mikail, and Altin, Yavuz

Subjects
*DIFFERENCE operators, *SEQUENCE analysis, *STOCHASTIC convergence, *SUMMABILITY theory, *FUNCTION spaces
Abstract

In this study, using the generalized difference operator Δmi and a sequence λ = (λn) which is a non-decreasing sequence of positive numbers tending to 8 such that λn+1 = λn + 1, λ1 = 1, we introduce the concepts of λ(Δmi) -statistical convergence of order α (α Є (0,1]) and strong λ (Δmi) -Cesaro summablility of order α (α > 0). We establish some connections between λ (Δim) -statistical convergence of order a and strong λ (Δmi) - Cesaro summablility of order a. It is shown that if a sequence is strongly λ (Δmi) -Cesaro summable of order a, then it is λ (Δim) - statistically convergent of order i in case 0 < α ≤ β ≤ 1. [ABSTRACT FROM AUTHOR]

Published
2017
Full Text
View/download PDF

Catalog

Books, media, physical & digital resources
See catalog results