126 research outputs found
Variations on lacunary statistical quasi Cauchy sequences
No full textInternational Conference of Mathematical Sciences (ICMS) -- JUL 31-AUG 06, 2018 -- Maltepe Univ, Istanbul, TURKEYWOS: 000472950300050In this paper, we introduce a concept of lacunary statistically p-quasi-Cauchyness of a real sequence in the sense that a sequence (alpha(k)) is lacunary statistically p-quasi-Cauchy if lim(r ->infinity) 1/h(r)vertical bar{k is an element of I-r : vertical bar alpha(k+p) - alpha(k)vertical bar >= epsilon}vertical bar = 0 for each epsilon > 0. A function f is called lacunary statistically p-ward continuous on a subset A of Me set of real numbers R if it preserves lacunary statistically p quasi-Cauchy sequences, i.e. the sequence f(x) = (f(alpha(n))) is lacunary statistically p-quasi-Cauchy whenever alpha = (alpha(n)) is a lacunary statistically p-quasi-Cauchy sequence of points in A. It turns out that a real valued function f is uniformly continuous on a bounded subset A of R if there exists a positive integer p such that f preserves lacunary statistically p-quasi-Cauchy sequences of points in A
New Result on Matrix Summability Factors of Infinite Series and Fourier Series
No full textInternational Conference of Mathematical Sciences (ICMS) -- JUL 31-AUG 06, 2018 -- Maltepe Univ, Istanbul, TURKEYWOS: 000472950300051In the present paper, we have extended the result of Sulaiman [10] dealing with vertical bar(N) over bar, p(n)vertical bar(k) summability factors of Fourier series to the vertical bar A, P-n vertical bar(k) summability method
The role of dopamine(2) receptor gene and personality characteristics in alcohol dependence in Turkish population
No full textObjective: Focusing on dopaminergic system, which is regarded to be responsible for alcohol dependence in many studies on animals and human beings, it is aimed to investigate Taql A and 8 allel polymorphisms of dopamine 2 receptor and personality characteristics in alcohol dependents and the relationship between these two parameters. Methods: In this study 64 alcohol dependent patients (3 females, 61 males) diagnosed according to DSM-IV diagnosis criteria, and 54 healthy subjects (8 females, 46 males) who themselves or whose first or second degree relatives had no alcohol dependence history were included. In order to determine their Taql A and 8 alleles, blood samples were drawn from the participants, and then they were applied Temperament and Character Inventory and Michigan Alcoholism Screening Test. Results: Subjects with and without alcohol dependence revealed no significant difference as regards the frequency of Taql A1 and B2 minor allel polymorphisms of DRD2 gene. It was also determined that the alcohol dependents had significantly higher scores in novelty seeking and harm avoidance dimensions, and lower scores in self directedness and cooperativeness dimensions than the controls. In alcohol dependents, no association was determined between the personality characteristics and Taql A1 and B2 minor allel polymorphisms. Conclusion: Not only one gene, but also several other minor genes in addition to personality characteristics and environment may play a role in vulnerability to alcohol dependence. In alcohol dependents, high novelty seeking is associated with the increase in impulsive behavior, and may be important for the onset of alcohol taking behavior. High level of harm avoidance may lead to taking alcohol continuously in order to deal with stress
A new result on weighted arithmetic mean summability factors of infinite series involving almost increasing sequences
No full textInternational Conference of Mathematical Sciences (ICMS) -- JUL 31-AUG 06, 2018 -- Maltepe Univ, Istanbul, TURKEYWOS: 000472950300049In this paper, a known theorem dealing with weighted mean summability methods of non-decreasing sequences has been generalized for vertical bar A, p(n); delta vertical bar(k) summability factors of almost increasing sequences. Also, some new results have been obtained concerning vertical bar(N) over bar, p(n)vertical bar(k),( )vertical bar(N) over bar, p(n); delta vertical bar(k) and vertical bar C, 1; delta vertical bar(k) summability factors
AN ASPECT OF LOCAL PROPERTY OF FOURIER SERIES
No full textWOS: 000419402200004In this paper, a general theorem concerning vertical bar(N) over bar, p(n), theta(n)vertical bar(k) summability factors of Fourier series is obtained. Using this result we study a localization problem for Fourier series.Ahi Evran University Scientific Research Projects Coordination Unit [FEF.A4.17.004]This work was supported by Ahi Evran University Scientific Research Projects Coordination Unit. Project Number: FEF.A4.17.004 and the author would like to thank the referees for a careful reading and several constructive comments that have improved the presentation of the results
A Variation on Absolute Weighted Mean Summability Factors of Fourier Series and its Conjugate Series
No full textWOS: 000486985000006In this paper, theorems concerning vertical bar(N) over bar, p(n), theta(n)vertical bar(k) factors of Fourier series and its conjugate series are studied. The presented results are generalizations two theorems of Mazhar on conjugate series and Fourier series.Ahi Evran University Scientific Research Projects Coordination UnitAhi Evran University [FEF.A4.17.004]The author would like to express her sincerest thanks to the referee for valuable suggestions for the improvement of this paper. This work was supported by Ahi Evran University Scientific Research Projects Coordination Unit. Project Number: FEF.A4.17.004
On application of matrix summability to Fourier series
No full textWOS: 000427318700016Bor has recently obtained amain theorem dealing with absolute weighted mean summability of Fourier series. In this paper, we generalized that theorem for vertical bar A, theta(n)vertical bar k summability method. Also, some new and known results are obtained dealing with some basic summability methods
A Matrix Application of Quasi-monotone Sequences to Infinite Series and Fourier Series
No full textInternational Conference of Numerical Analysis and Applied Mathematics (ICNAAM) -- SEP 25-30, 2017 -- Thessaloniki, GREECEWOS: 000445105400300In the present paper, we have generalized two main theorems dealing with weighted mean summability for absolute matrix sununability which play a vital role in the field of theory and application of summability by using quasi-monotone sequences. These sequences have assumed great importance because of their applicability and usefulness in other fields.Ahi Evran University Scientific Research Projects Coordination UnitAhi Evran University [FEF.A3.17.003]This work was supported by the Ahi Evran University Scientific Research Projects Coordination Unit. Project Number: FEF.A3.17.00
A New Variation on Lacunary Statistical Quasi Cauchy Sequences
No full textInternational Conference of Numerical Analysis and Applied Mathematics (ICNAAM) -- SEP 25-30, 2017 -- Thessaloniki, GREECEWOS: 000445105400299In this paper, the concept of an S-theta-delta(2)-quasi-Cauchy sequence is investigated. In this investigation, we proved interesting theorems related to S-theta-delta(2)-ward continuity, and some other kinds of continuities. A real valued function f defined on a subset A of R, the set of real numbers, is called S-theta-delta(2)-ward continuous on A if it preserves S-theta-delta(2)-quasi-Cauchy sequences of points in A, i.e. (f (alpha(k))) is an S-theta-delta(2)-quasi-Cauchy sequence whenever (alpha(k)) is an S-theta-delta(2)-quasi-Cauchy sequence of points in A, where a sequence (alpha(k)) is called S-theta-delta(2)-quasi-Cauchy if (Delta(2)alpha(k)) is an S-theta- quasi-Cauchy sequence. It turns out that the set of S-theta-delta(2)-ward continuous functions is a closed subset of the set of continuous functions.Ahi Evran University Scientific Research Projects Coordination UnitAhi Evran University [FEF.A3.17.003]This work was supported by the Ahi Evran University Scientific Research Projects Coordination Unit. Project Number: FEF.A3.17.00
A NEW THEOREM ON ABSOLUTE MATRIX SUMMABILITY OF FOURIER SERIES
No full textWOS: 000416484100008We generalize a main theorem dealing with absolute weighted mean summability of Fourier series to the |A, p(n)|(k) summability factors of Fourier series under weaker conditions. Also some new and known results are obtained
- …
