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SOME RESULTS ON APPROXIMATION IN 2-BANACH SPACES
AÇIKGÖZ, M,KARAKU¸S, Y,ASLAN, N,ARACI, S 장전수학회 2011 Proceedings of the Jangjeon mathematical society Vol.14 No.1
In this study, we will give some new results on the best approxi-mation and best simultaneous approximation related to the de nitions we havedone in 2-Banach spaces.
A STUDY ON TYPES OF APPROXIMATION IN THE SENSE OF 2-STRUCTURES
MEHMET AÇIKGÖZ,YUSUF KARAKUS,DOGAN DÖNMEZ 장전수학회 2011 Proceedings of the Jangjeon mathematical society Vol.14 No.1
The problem of approximation and best approximation has been studied by many mathematicians. Most of works have dealt with the existence,uniqueness and characterization of approximation and best approximations in spaces of continuous functions with values in Banach spaces. But little or no work on approximation has been done in the sense of 2-structures such 2-normed sapaces, generalized 2-normed spaces and 2-Banach spaces. The aim of this paper is to give the types of approximation and investigate the approx-imation in the sense of these spaces. In addition, we shall give some results and related examples on the sets of approximation and coapproximation.
COMONOTONE APPROXIMATION IN LINEAR 2-NORMED SPACES
MEHMET AÇIKGÖZ 장전수학회 2010 Advanced Studies in Contemporary Mathematics Vol.20 No.2
In this paper, we extend the notion of comonotone approximation to linear 2-normed spaces. We shall study comonotone approximation of finite dimensional linear 2-normed spaces in the sense of simultaneous and best si-multaneous approximation. We give and prove some results and theorems on characterization and uniqueness of comonotone approximation. In this spaces,our results coincide with the usual one.
Chemical meat bait traps versus basic meat bait traps in collection of adult flies
Halide Nihal AÇIKGÖZ,Serdal Kenan KÖSE,Duygu DIVRAK 한국곤충학회 2017 Entomological Research Vol.47 No.1
The aim of the present study is to compare the effectiveness of chemical meat bait traps and basic meat bait traps for collecting adult flies. Bait traps used to collect these species can be damaged by anthropogenic or environmental effects. In this study, chemical meat bait traps and basic meat bait traps were hung from trees in the garden of the Ankara University Forensic Sciences Institute. This activity was carried out on the first Monday of each month for nine months. During the study, 1894 specimens were collected. Of all these species, 1787 (94.35%) were obtained from chemical meat bait traps (CMBTs), while 107 (5.65%) were obtained from basic meat bait traps (BMBTs). To determine the diversity of species in CMBT and BMBT sample groups in our study, Shannon Wiener and Simpson diversity and dominance indices were used. Shannon Evenness Index was calculated to determine the relationship between species community‐density. Cluster analysis provided a summary of the similarity in species composition of different regions. The CMBT and BMBT trap groups similarity/dissimilarity feature was checked using Bray–Curtis cluster analysis. The number of species collected from CMBTs was considerably higher than in BMBTs. The results of this study will help researchers to save time. In addition, it should be kept in mind that thiamethoxam is harmful to the environment when it contaminates sources of water.
A unified generating function of the q-genocchi polynomials with their interpolation functions
Serkan Araci,MEHMET AÇIKGÖZ,HASSAN JOLANY,서종진 장전수학회 2012 Proceedings of the Jangjeon mathematical society Vol.15 No.2
The purpose of this paper is to construct of the uni cation q-extension Genocchi polynomials. We give some interesting relations of this type of polynomials. Finally, we derive the q-extensions of Hurwitz-zeta type functions from the Mellin transformation of this generating function which interpolates the uni ed of q-extension of Genocchi polynomials.