Zobrazeno 1 - 10
of 70
pro vyhledávání: '"Fuat Usta"'
Autor:
Mehmet Yavuz, Fuat Usta
Publikováno v:
AIMS Biophysics, Vol 10, Iss 3, Pp 258-262 (2023)
Mathematical modelling and simulation in biophysics and its applications in terms of both theoretical and biological/physical/ecological point of view arise in a number of research problems ranging from physical and chemical processes to biomathemati
Externí odkaz:
https://doaj.org/article/7719cb0f82f742caa21ff769be46e764
Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-13 (2021)
Abstract The present paper introduces a new modification of Gamma operators that protects polynomials in the sense of the Bohman–Korovkin theorem. In order to examine their approximation behaviours, the approximation properties of the newly introdu
Externí odkaz:
https://doaj.org/article/dec3650c581a4348a8b0b0851d90ae06
Autor:
Fuat Usta
Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-13 (2021)
Abstract The purpose of this research is to construct sequences of Baskakov operators such that their construction consists of a function σ by use of two function sequences, ξ n $\xi _{n} $ and η n $\eta _{n} $ . In these operators, σ not only fe
Externí odkaz:
https://doaj.org/article/117755c4c2264cd7a3b2534c8cbe92ab
Publikováno v:
AIMS Mathematics, Vol 5, Iss 2, Pp 1147-1161 (2020)
Chebyshev type inequalities for the generalized fractional integral operators are studied based on two synchronous functions in a rather general form. The main results of this paper generalize some previous results obtained by the authors. We also pr
Externí odkaz:
https://doaj.org/article/4a31d261cf6e4060a51d1ff29cd74092
Autor:
Khursheed J. Ansari, Fuat Usta
Publikováno v:
Symmetry, Vol 14, Iss 8, p 1596 (2022)
The main purpose of this paper is to define a new family of Szász–Mirakyan operators that depends on a non-negative parameter, say α. This new family of Szász–Mirakyan operators is crucial in that it includes both the existing Szász–Mirakya
Externí odkaz:
https://doaj.org/article/2faf03b5b368428e861082f7c83c7466
Publikováno v:
Arabian Journal of Mathematics, Vol 7, Iss 4, Pp 317-328 (2018)
Abstract In this paper, we have introduced the new upper bounds for Ostrowski-type integral inequalities by using conformable fractional integral. In accordance with this purpose, we have benefited from the Taylor expansion for conformable fractional
Externí odkaz:
https://doaj.org/article/0629ddd23bf24224b6fe9024129a1e98
Publikováno v:
Mathematics, Vol 9, Iss 24, p 3275 (2021)
The topic of approximation with positive linear operators in contemporary functional analysis and theory of functions has emerged in the last century. One of these operators is Meyer–König and Zeller operators and in this study a generalization of
Externí odkaz:
https://doaj.org/article/57b2de0d1d614671ae2ba6a3fece7c51
Autor:
Fuat Usta, Mehmet Zeki Sarıkaya
Publikováno v:
International Journal of Analysis and Applications, Vol 14, Iss 2, Pp 162-166 (2017)
In this study, we wish to set up and present some new conformable fractional integral inequalities of the Gronwall type which have a great variety of implementation area in differential and integral equations.
Externí odkaz:
https://doaj.org/article/8125296ef6d649109c2638aa6885dfe4
Autor:
Mehmet Zeki Sarikaya, Fuat Usta
Publikováno v:
International Journal of Analysis and Applications, Vol 12, Iss 2, Pp 207-214 (2016)
In this paper the more general comparison theorems for conformable fractional differential equations is proposed and tested. Thus we prove some inequalities for conformable integrals by using the generalization of Sturm's separation and Sturm's compa
Externí odkaz:
https://doaj.org/article/463cad6e7cab4b19916918407fef3203
Autor:
Fuat Usta
Publikováno v:
An International Journal of Optimization and Control: Theories & Applications, Vol 8, Iss 2 (2018)
In this paper we introduced the conformable derivatives and integrals of radial basis functions (RBF) to solve conformable fractional differential equations via RBF collocation method. For that, firstly, we found the conformable derivatives and integ
Externí odkaz:
https://doaj.org/article/da69678c11bb4c0482aed069edba70f5