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Publication year : 2020 ✕Databases : Tübitak (Academik Jo ... ✕
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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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