Cilt:69 Sayı:02 (2020)

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https://dspace.ankara.edu.tr/handle/20.500.12575/76048

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Numerical solution to an integral equation for the kth moment function of a geometric process
(Ankara Üniversitesi, 2021) Pekalp, Mustafa Hilmi; Other; Mühendislik Fakültesi
In this paper, an integral equation for the kth moment function of a geometric process is derived as a generalization of the lower-order moments of the process. We propose a general solution to solve this integral equation by using the numerical method, namely trapezoidal integration rule. The general solution is reduced to the numerical solution of the integral equations which will be given for the third and fourth moment functions to compute the skewness and kurtosis of a geometric process. To illustrate the numerical method, we assume gamma, Weibull and lognormal distributions for the first interarrival time of the geometric process.
Fractional variational problems on conformable calculus
(Ankara Üniversitesi, 2021) Öğrekçi, Süleyman; Other; Other
In this paper, we deal with the variational problems defined by an integral that include fractional conformable derivative. We obtained the optimality results for variational problems with fixed end-point boundary conditions and variable end-point boundary conditions. Then, we studied on the variational problems with integral constraints and holonomic constraints, respectively.
Approximation by Bézier variant of Jakimovski-Leviatan-Păltănea operators involving Sheffer polynomials
(Ankara Üniversitesi Fen Fakültesi, 2020-12-31) AGRAWAL, P.; KUMAR, Ajay; Other; Other
In the present paper, the Bezier variant of Jakimovski-Leviatan-Peltenea operators involving Sheffer polynomials is introduced and the degree of approximation by these operators is investigated with the aid of Ditzian-Totik modulus of smoothness, Lipschitz type space and for functions with derivatives of bounded variations.
A note on quasi bi-slant submanifolds of cosymplectic manifolds
(Ankara Üniversitesi Fen Fakültesi, 2020-12-31) Akyol, Mehmet Akif; Beyendi, Selahattin; Other; Other
The aim of the present paper is to define and study the notion of quasi bi-slant submanifolds of almost contact metric manifolds. We mainly concerned with quasi bi-slant submanifolds of cosymplectic manifolds as a generalization of slant, semi-slant, hemi-slant, bi-slant and quasi hemi-slant submanifolds. First, we give non-trivial examples in order to demostrate the method presented in this paper is effective and investigate the geometry of distributions. Moreover, We study these types of submanifolds with parallel canonical structures.
On the Chinese Checkers spherical inversions in three dimensional Chinese Checkers space
(Ankara Üniversitesi Fen Fakültesi, 2020-12-31) Pekzorlu, Adnan; Bayar, Ayşe; Other; Other
In this paper, we study an inversion with respect to a Chinese checkers sphere in the three dimensional Chinese Checkers space, and prove several properties of this inversion. We also study cross ratio, harmonic conjugates and the inverse images of lines, planes and Chinese Checkers spheres in three dimensional Chinese Checkers space.
A-statistically localized sequences in n-normed spaces
(Ankara Üniversitesi Fen Fakültesi, 2020-12-31) Gürdal, Mehmet; Sarı, Nur; Savaş, Ekrem; Other; Other
In 1974, Krivonosov defined the concept of localized sequence that is defined as a generalization of Cauchy sequence in metric spaces. In this present work, the A-statistically localized sequences in n-normed spaces are defined and some main properties of A-statistically localized sequences are given. Also, it is shown that a sequence is A-statistically Cauchy iff its A-statistical barrier is equal to zero. Moreover, we define the uniformly A-statistically localized sequences on n-normed spaces and investigate its relationship with A-statistically Cauchy sequences.
A common fixed point theorem for multi-valued θ_{δ} contractions via subsequential continuity
(Ankara Üniversitesi Fen Fakültesi, 2020-12-31) Ahmed, Ali; MAHİDEB, Saadia; BELOUL, Said; Other; Other
The main objective of this paper is to present a common fixed point theorem for two pairs of single and set valued mappings via subsequential continuity and \delta- compatibility. To illustrate the validity of our results, an example is provided and we give also an application for a system of integral inclusions of Volterra type.
A solution of a viscosity Cesàro mean algorithm
(Ankara Üniversitesi Fen Fakültesi, 2020-12-31) SAHEBİ, Hamid Reza; Other; Other
Based on the viscosity approximation method, we introduce a new cesaro mean approximation method for finding a common solution of split generalized equilibrium problem in real Hilbert spaces. Under certain conditions control on parameters, we prove a strong convergence theorem for the sequences generated by the proposed iterative scheme. Some numerical examples are presented to illustrate the convergence results. Our results can be viewed as a generalization and improvement of various existing results in the current literature.
On Hermite-Hadamard type inequalities for interval-valued multiplicative integrals
(Ankara Üniversitesi Fen Fakültesi, 2020-12-31) ZHANG, Zhiyue; ALİ, Muhammad Aamir; BUDAK, Hüseyin; SARIKAYA, Mehmet Zeki; Other; Other
In this work, we define multiplicative integrals for interval-valued functions. We establish some new Hermite-Hadamard type inequalities in the setting of interval-valued multiplicative calculus and give some examples to illustrate our main results. We also discuss special cases of our main results which are the extension of already established results.
On proximity spaces and topological hyper nearrings
(Ankara Üniversitesi Fen Fakültesi, 2020-12-31) BORHANİ-NEJAD, Somaye; DAVVAZ, B.; Other; Other
In 1934 the concept of algebraic hyperstructures was first introduced by a French mathematician, Marty. In a classical algebraic structure, the composition of two elements is an element, while in an algebraic hyperstructure, the result of this composition is a set. In this paper, we prove some results in topological hyper nearring. Then we present a proximity relation on an arbitrary hyper nearring and show that every hyper nearring with a topology that is induced by this proximity is a topological hyper nearring. In the following, we prove that every topological hyper nearring can be a proximity space.
Best proximity problems for new types of Z -proximal contractions with an application
(Ankara Üniversitesi Fen Fakültesi, 2020-12-31) Işık, Hüseyin; Aydi, Hassen; Other; Other
In this study, we establish existence and uniqueness theorems of best proximity points for new types of Z -proximal contractions defined on a complete metric space. The presented results improve and generalize some recent results in the literature. Several examples are constructed to demonstrate the generality of our results. As applications of the obtained results, we discuss sufficient conditions to ensure the existence of a unique solution for a variational inequality problem.
An approach to pre-separation axioms in neutrosophic soft topological spaces
(Ankara Üniversitesi Fen Fakültesi, 2020-12-31) Açıkgöz, Ahu; Esenbel, Ferhat; Other; Other
In this study, we introduce the concept of neutrosophic soft pre-open (neutrosophic soft pre-closed) sets and pre-separation axioms in neutrosophic soft topological spaces. In particular, the relationship between these separation axioms are investigated. Also, we give a new deﬁnition for neutrosophic soft topological subspace and deﬁne neutrosophic soft pre irresolute soft and neutrosophic pre irresolute open soft functions.
Recognition of complex polynomial Bezier curves under similarity transformations
(Ankara Üniversitesi Fen Fakültesi, 2020-12-31) Ören, İdris; İncesu, Muhsin; Other; Other
In this paper, similarity groups in the complex plane C, polynomial curves and complex Bezier curves in C are introduced. Global similarity invariants of polynomial curves and complex Bezier curves in C are given in terms of complex functions. The problem of similarity of two polynomial curves in C are solved. Moreover, in case two polynomial curve (complex Bezier curve) are similar for the similarity group, a general form of all similarity transformations, carrying one curve into the other curve, are obtained.
On frontier and exterior in intuitionistic supra α- closed set
(Ankara Üniversitesi Fen Fakültesi, 2020-12-31) LAKSHMANADAS, Vıdyaranı; PRİYA, Padma; Other; Other
The main aim of the study of this paper is to work with the properties of frontier and exterior in intuitionistic supra topological spaces. Considering this we have introduced intuitionistic supra α-frontier andintuitionistic α-exterior in intuitionistic supra topological space. We have also deliberated the properties of intuitionistic suppra α-frontier and intuitionistic supra α-exterior in intuitionistic supra topological space. The comparative study has been done with the use of intuitionistic supra α-open set between Intuitionistic supra frontier, Intuitionistic supra exterior and intuitionistic supra α-frontier, intuitionistic α-exterior in intuitionistic supra topological space.
On certain multidimensional nonlinear integrals
(Ankara Üniversitesi Fen Fakültesi, 2020-12-31) Güller, Özge Özalp; Uysal, Gümrah; Matematik; Fen Fakültesi
The aim of the paper is to obtain generalized convergence results for nonlinear multidimensional integrals of the form: L_{η}(ω;x)=((ηⁿ)/(Ω_{n-1}))∫_{D}K(η|t-x|,ω(t))dt. We will prove pointwise convergence of the family L_{η}(ω;x) as η→∞ at a fixed point x∈D which represents any generalized Lebesgue point of function ω∈L₁(D), where D is an open bounded subset of Rⁿ. Moreover, we will consider the case D=Rⁿ. The aim of the paper is to obtain generalized convergence results for nonlinear multidimensional integrals of the form: L_{η}(ω;x)=((ηⁿ)/(Ω_{n-1}))∫_{D}K(η|t-x|,ω(t))dt. We will prove pointwise convergence of the family L_{η}(ω;x) as η→∞ at a fixed point x∈D which represents any generalized Lebesgue point of function ω∈L₁(D), where D is an open bounded subset of Rⁿ. Moreover, we will consider the case D=Rⁿ.
Analysis of fractional differential systems involving Riemann Liouville fractional derivative
(Ankara Üniversitesi Fen Fakültesi, 2020-12-31) Batik, Songül; Deren, Fulya Yörük; Other; Other
This paper is devoted to studying the multiple positive solutions for a system of nonlinear fractional boundary value problems. Our analysis is based upon the Avery Peterson fixed point theorem. In addition, we include an example for the demonstration of our main result.
Equitable edge coloring on tensor product of graphs
(Ankara Üniversitesi Fen Fakültesi, 2020-12-31) VENİNSTİNE, Vivik J; AKBAR ALI, M. M.; GIRIJA, G.; Other; Other
A graph G is edge colored if different colors are assigned to its edges or lines, in the order of neighboring edges are allotted with least diverse k-colors. If each of k-colors can be partitioned into color sets and differs by utmost one, then it is equitable. The minimum of k-colors required is known as equitably edge chromatic number and symbolized by χ ′ = ( G ) . Further the impression of equitable edge coloring was first initiated by Hilton and de Werra in 1994. In this paper, we ascertain the equitable edge chromatic number of P m ⊗ P n , P m ⊗ C n and K 1 , m ⊗ K 1 , n .
On doubly warped products
(Ankara Üniversitesi Fen Fakültesi, 2020-12-31) Aydın, Sibel Gerdan; Taştan, Hakan Mete; Other; Other
We give a new characterization for doubly warped products by using the geometry of their canonical foliations intersecting perpendicularly. We also give a necessary and sufficient condition for a doubly warped product to be a warped or a direct product. As a result, we prove the non-existence of Einstein proper doubly warped product pseudo-Riemannian manifold of dimension grater or equal than 4.
On a Janowski formula based on a generalized differential operator
(Ankara Üniversitesi Fen Fakültesi, 2020-12-31) Rabha, İbrahim; Other; Other
The central purpose of the current paper is to consider a set of beneficial possessions including inequalities for a generalized subclass of Janowski functions (analytic functions) which are formulated here by revenues of a generalized Sàlàgean’s differential operator. Numerous recognized consequences of the outcomes are also indicated
Pointwise bi-slant submersions from cosymplectic manifolds
(Ankara Üniversitesi Fen Fakültesi, 2020-12-31) Sepet, Sezin Akyurt; Ergüt, Mahmut; Other; Other
We introduce pointwise bi-slant submersions from cosymplectic manifolds onto Riemannian manifolds as a generalization of anti-invariant, semi-invariant, semi-slant, hemi-slant, pointwise semi-slant, pointwise hemi-slant and pointwise slant Riemannian submersions. We give an example for pointwise bi-slant submersions and investigate integrability and totally geodesicness of the distributions which are mentioned in the definition of pointwise bi-slant submersions admitting vertical Reeb vector field. Also we obtain necessary and sufficient conditions for such submersions to be totally geodesic maps.

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