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Databases : Tübitak (Academik Jo ... ✕Faculty / Institute : Fen Fakültesi ✕
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An invariant of regular isotopy for disoriented links

İsmet ALTINTAŞ

In this paper, we define a two-variable polynomial invariant of regular isotopy, M_K for a disoriented link diagram K. By normalizing the polynomial M_K using complete writhe, we obtain a polynomial invariant of ambient isotopy, N_K, for a disoriented link diagram K. The polynomial N_K is a generalization of the expanded Jones polynomial for disoriented links and is an expansion of the Kauffman polynomial F to the disoriented links. Moreover, the polynomial M_K is an expansion of the Kauffman polynomial L to the disoriented links.

Article 2023 Fen Fakültesi Turkish Journal of Mathematics47 ( 1 ) 50 Views
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The inequalities on dual numbers and their topological structures

Olgun DURMAZ

Inequalities are frequently used in various fields of mathematics to prove theorems. The existence of inequalities contributes significantly to the foundations of such branches. In this paper, we study the properties of order relations in the system of dual numbers, which is inspired by order relations defined on real numbers. Besides, some special inequalities that are used in various fields of mathematics, such as Cauchy-Schwarz, Minkowski, and Chebyshev are studied in this framework. An example is also provided to validate our research findings. Keywords: dual numbers; dual absolute value; ...More

Article 2023 Fen Fakültesi Turkish Journal of Mathematics47 ( 5 ) 28 Views
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Checklist of Turkish Raphidioptera on the basis of distribution pattern and biogeographical analysis

Savaş CANBULAT

An updated checklist of the species of Turkish Raphidioptera and further analysis concerning their zoogeographical distribution are presented in this study. The present checklist has been based on studies from the literature and includes records from extensive material that I have identified over the last few years. The Turkish Raphidioptera presently comprises 40 species in 8 genera and 2 families. There are 38 species of Raphidiidae, while there are only 2 species of Inocelliidae in Turkey. Among these species, 19 species are recorded as endemic and the endemism rate is 47.5%. Distributions ...More

Article 2015 Fen Fakültesi Turkish Journal of Zoology39 ( 2 ) 140 Views
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Two new records of the Coniopteryx (Neuroptera: Coniopterygidae) species for the Turkish fauna

Savaş CANBULAT

Two species of the family Coniopterygidae, Coniopteryx (Xeroconiopteryx) loipetsederi H. Aspöck, 1963 and C. (Coniopteryx) borealis Tjeder, 1931, are here recorded for the first time in the Turkish fauna. Morphological and ecological notes as well as the distribution map with new recording sites are also provided. For C. loipetsederi, this is the most eastern record, and the eastern limits of the range of C. borealis have also been extended. - Keywords: Neuroptera, Coniopterygidae, Coniopteryx loipetsederi, Coniopteryx borealis, new records, Turkey

Article 2013 Fen Fakültesi Turkish Journal of Zoology37 ( 2 ) 56 Views
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Bernstein-Walsh-type inequalities for derivatives of algebraic polynomials on the regions of complex plane

Fahreddin ABDULLAYEV

In this paper, we study Bernstein-Walsh-type estimates for the derivatives of an arbitrary algebraic polynomial on some general regions of the complex plane.

Article 2022 Fen Fakültesi Turkish Journal of Mathematics46 ( 7 ) 74 Views
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Fekete-Szego problem for a new subclass of analytic functions satisfying subordinate condition associated with Chebyshev polynomials

Muhammet KAMALİ

In this paper,we define a class of analytic functions F-(beta,lambda()) (H, alpha, delta, mu), satisfying the following subordinate condition associated with Chebyshev polynomials {alpha[zG' (z)/G (z)](delta) + (1 - alpha) [zG' (z)/G (z)](mu) [1 + zG '' (z)/G' (z)](1-mu)} < H (z, t), where G(z) = lambda beta z(2)f '' (z) + (lambda - beta) zf' (z) + (1 - lambda + beta) f (z) , 0

Article 2021 Fen Fakültesi Turkish Journal of Mathematics45 ( 3 ) 99 Views
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Direct and inverse approximation theorems in the weighted Orlicz-type spaces with a variable exponent

Fahreddin ABDULLAYEV | Meerim İmaş Kızı

In weighted Orlicz-type spaces S-p,S- (mu) with a variable summation exponent, the direct and inverse approximation theorems are proved in terms of best approximations of functions and moduli of smoothness of fractional order. It is shown that the constant obtained in the inverse approximation theorem is the best in a certain sense. Some applications of the results are also proposed. In particular, the constructive characteristics of functional classes defined by such moduli of smoothness are given. Equivalence between moduli of smoothness and certain Peetre K-functionals is shown in the space ...More

Article 2020 Fen Fakültesi Turkish Journal of Mathematics44 ( 1 ) 37 Views
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The Fekete-Szegö inequality for subclasses of analytic functions related to modified Sigmoid functions

Muhammet KAMALİ

In this paper, the authors investigate the initial coefficient bounds for a new generalized subclass of analytic functions related to Sigmoid functions. Also, the relevant connections with the famous classical Fekete?Szegö inequality for these classes are discussed.

Article 2020 Fen Fakültesi Turkish Journal of Mathematics44 ( 3 ) 40 Views
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Effect of Mg doping on morphology, photocatalytic activity and related biological properties of Zn1-xMgxO nanoparticles

İbrahim İlker ÖZYİĞİT

The objective of this study is to synthesize ZnO and Mg doped ZnO (Zn1-xMgxO) nanoparticles via the sol-gel method, and characterize their structures and to investigate their biological properties such as antibacterial activity and hemolytic potential.Nanoparticles (NPs) were synthesized by the sol-gel method using zinc acetate dihydrate (Zn(CH3COO)(2) .2H(2)O) and magnesium acetate tetrahydrate (Mg(CH3COO)(2) .4H(2)O) as precursors. Methanol and monoethanolamine were used as solvent and sol stabilizer, respectively. Structural and morphological characterizations of Zn1-xMgxO nanoparticles wer ...More

Article 2020 Fen Fakültesi Turkish Journal of Chemistry44 ( 4 ) 55 Views
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Compactness of soft cone metric space and fixed point theorems related to diametrically contractive mapping

İsmet ALTINTAŞ

In this article, we describe the concepts such as sequentially soft closeness, sequential compactness, totally boundedness and sequentially continuity in any soft cone metric space and prove their some properties. Also, we examine soft closed set, soft closure, compactness and continuity in an elementary soft topological cone metric space. Unlike classical cone metric space, sequential compactness and compactness are not the same here. Because the compactness is an elementary soft topological property and cannot be defined for every soft cone metric space. However, in the restricted soft cone ...More

Article 2020 Fen Fakültesi Turkish Journal of Mathematics44 ( 6 ) 61 Views
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