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WIJSMAN LACUNARY IDEAL INVARIANT CONVERGENCE OF DOUBLE SEQUENCES OF SETS
( Erdinç Dündar ),( Nimet Pancaroğlu Akin ) 호남수학회 2020 호남수학학술지 Vol.42 No.2
In this paper, we study the concepts of Wijsman lacunary invariant convergence, Wijsman lacunary invariant statistical convergence, Wijsman lacunary I<sub>2</sub>-invariant convergence (I<sup>σθ</sup><sub>W2</sub>), Wijsman lacunary I<sub>2</sub>-invariant convergence (I<sup>σθ</sup><sub>W2</sub>), Wijsman p- strongly lacunary invariant convergence ([W<sub>2</sub>N<sub>σθ</sub>]<sub>p</sub>) of double sequence of sets and investigate the relationships among Wijsman lacunary invariant convergence, [W<sub>2</sub>N<sub>σθ</sub>]<sub>p</sub>, I<sup>σθ</sup><sub>W2</sub> and I<sup>σθ</sup><sub>W2</sub>. Also, we introduce the concepts of I<sup>σθ</sup><sub>W2</sub>-Cauchy double sequence and I<sup>σθ</sup><sub>W2</sub> - Cauchy double sequence of sets.
( Erdinç Dündar ),( Nimet Pancaroğlu Akin ),( Ugur Ulusu ) 호남수학회 2021 호남수학학술지 Vol.43 No.1
In this study, we present some asymptotical invariant and asymptotical lacunary invariant equivalence types for double sequences via ideals using modulus functions and investigate relationships between them.
INVARIANT CONVERGENCE IN FUZZY NORMED SPACES
( ŞEYMA YALVAÇ ),( Erdinç Dündar ) 호남수학회 2021 호남수학학술지 Vol.43 No.3
In this study, we defined the notions of invariant convergence and invariant Cauchy sequences in fuzzy normed spaces. Also, we inves-tigated some properties of invariant convergence and relations between invariant convergence and invariant Cauchy sequences in fuzzy normed spaces.
ROUGH STATISTICAL CONVERGENCE IN 2-NORMED SPACES
( MUKADDES ARSLAN ),( Erdinç Dündar ) 호남수학회 2021 호남수학학술지 Vol.43 No.3
In this study, we introduced the notions of rough statistical convergence and defined the set of rough statistical limit points of a sequence and obtained statistical convergence criteria associated with this set in 2-normed space. Then, we proved that this set is closed and convex in 2-normed space. Also, we examined the relations between the set of statistical cluster points and the set of rough statistical limit points of a sequence in 2-normed space.
DEFERRED STRONGLY CESÀRO SUMMABLE AND STATISTICALLY CONVERGENT FUNCTIONS
( Fatih Nuray ),( Erdinç Dündar ),( Uğur Ulusu ) 호남수학회 2022 호남수학학술지 Vol.44 No.4
In this paper, firstly we introduce the concepts of deferred Cesàro summable and deferred statistically convergent function, and secondly we introduce the concepts of deferred almost summable and deferred almost statistically convergent functions. Furthermore, we investigate the relations between these concepts.
Evaluation and follow-up of pain, fatigue, and quality of life in COVID-19 patients
Sevda Adar,Petek Şarlak Konya,Ali İzzet Akçin,Ümit Dündar,Neşe Demirtürk 질병관리본부 2023 Osong Public Health and Research Persptectives Vol.14 No.1
Objectives: We evaluated pain, fatigue, anxiety, depression, and quality of life in patients hospitalized for coronavirus disease 2019 (COVID-19) and observed them over a period of 3 months. We also investigated the relationship of these symptoms to age, sex, disease severity, and levels of anxiety and depression. Methods: The study included 100 confirmed COVID-19 patients (i.e., positive on a polymerase chain reaction test) between the ages of 18 and 75 years. Pain (visual analog scale [VAS]), fatigue (fatigue severity scale), anxiety, and depression (hospital anxiety and depression scales) were evaluated on the first day of hospitalization and at 1-month and 3-month follow-ups. The short form-12 questionnaire was used to measure quality of life at the 1-month and 3-month follow-ups. Results: No differences were found in pain, fatigue, anxiety levels, depression levels, and quality of life according to disease severity. High VAS scores at hospital admission were related to continued pain at the 3-month follow-up (odds ratio [OR], 1.067; p<0.001). High VAS (OR, 1.072; p=0.003) and anxiety levels (OR, 1.360; p=0.007) were related to severe fatigue at the 3-month evaluation. Conclusion: Pain, fatigue, anxiety, and depression appear to be long-term sequelae of COVID-19 and can affect quality of life. High VAS and anxiety levels were found to be associated with long-term fatigue.
The effects of high-fat diet on implant osseointegration: an experimental study
Serkan Dü,ndar,Ferhan Yaman,Muhammed Fatih Ozupek,Arif Saybak,Mehmet Gul,Fatih Asutay,Mustafa Kirtay,Ibrahim Hanifi Ozercan 대한구강악안면외과학회 2016 대한구강악안면외과학회지 Vol.42 No.4
Objectives: In this study, we investigated whether a high-fat diet (HFD) affected the bone implant connection (BIC) in peri-implant bone. Materials and Methods: Four male rabbits were used in this study. Dental implant surgery was introduced into each tibia, and four implants were integrated into each animal. In both the normal diet (ND) group (n=2) and HFD group (n=2), 8 implants were integrated, for a total of 16 integrated implants. The animals continued with their respective diets for 12 weeks post-surgery. Afterward, the rabbits were sacrificed, and the BIC was assessed histomorphometrically. Results: Histologic and histomorphometric analyses demonstrated that BIC was not impaired in the HFD group compared to the ND group. Conclusion: Within the limitations of this study, we found that HFD did not decrease the BIC in rabbit tibias.