Year 2019, Volume 8, Issue 2, Pages 617 - 627 2019-06-28

Pozitif Reel Fonksiyonlar ve Devre Uygulamaları Üzerine Bazı Sonuçlar
Some Remarks on Positive Real Functions and Their Circuit Applications

Bülent Nafi ÖRNEK [1] , Timur DÜZENLİ [2]

16 49

Bu çalışmada, Schwarz lemmasının bir sınır versiyonu, süren nokta empedans fonksiyonları için sanal eksen üzerindeki s=0 noktasında değerlendirilmiştir. Buna göre, Z(0)=0 koşulu altında, Z(s) fonksiyonunun türevinin modülü aşağıdan değerlendirilmiştir. Burada, elde edilen eşitsizliklerde, Z(s)=beta+c1(s-alfa)+....  fonksiyonunun Taylor açılımındaki ,  Z(alfa), c1 ve c2 katsayıları kullanılmıştır. Aynı zamanda, bu eşitsizliklerin keskinliği ispatlanmıştır.

In this paper, a boundary version of the Schwarz lemma has been considered for driving point impedance functions at s=0 point of the imaginary axis. Accordingly, under Z(0)=0condition, the modulus of the derivative of the Z(s)  function has been considered from below. Here, Z(alfa), c1 and c2 coefficients of the Taylor expansion of the Z(s)=beta+c1(s-alfa)+...  function have been used in the obtained inequalities. The sharpness of these inequalities has also been proved.

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Primary Language en
Journal Section Araştırma Makalesi
Authors

Orcid: 0000-0001-7109-230X
Author: Bülent Nafi ÖRNEK (Primary Author)
Institution: AMASYA UNIVERSITY
Country: Turkey


Orcid: 0000-0003-0210-5626
Author: Timur DÜZENLİ
Institution: AMASYA UNIVERSITY
Country: Turkey


Dates

Publication Date: June 28, 2019

Bibtex @research article { bitlisfen492656, journal = {Bitlis Eren Üniversitesi Fen Bilimleri Dergisi}, issn = {2147-3129}, eissn = {2147-3188}, address = {Bitlis Eren University}, year = {2019}, volume = {8}, pages = {617 - 627}, doi = {10.17798/bitlisfen.492656}, title = {Some Remarks on Positive Real Functions and Their Circuit Applications}, key = {cite}, author = {ÖRNEK, Bülent Nafi and DÜZENLİ, Timur} }
APA ÖRNEK, B , DÜZENLİ, T . (2019). Some Remarks on Positive Real Functions and Their Circuit Applications. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, 8 (2), 617-627. DOI: 10.17798/bitlisfen.492656
MLA ÖRNEK, B , DÜZENLİ, T . "Some Remarks on Positive Real Functions and Their Circuit Applications". Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 8 (2019): 617-627 <http://dergipark.org.tr/bitlisfen/issue/46476/492656>
Chicago ÖRNEK, B , DÜZENLİ, T . "Some Remarks on Positive Real Functions and Their Circuit Applications". Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 8 (2019): 617-627
RIS TY - JOUR T1 - Some Remarks on Positive Real Functions and Their Circuit Applications AU - Bülent Nafi ÖRNEK , Timur DÜZENLİ Y1 - 2019 PY - 2019 N1 - doi: 10.17798/bitlisfen.492656 DO - 10.17798/bitlisfen.492656 T2 - Bitlis Eren Üniversitesi Fen Bilimleri Dergisi JF - Journal JO - JOR SP - 617 EP - 627 VL - 8 IS - 2 SN - 2147-3129-2147-3188 M3 - doi: 10.17798/bitlisfen.492656 UR - https://doi.org/10.17798/bitlisfen.492656 Y2 - 2019 ER -
EndNote %0 Bitlis Eren Üniversitesi Fen Bilimleri Dergisi Some Remarks on Positive Real Functions and Their Circuit Applications %A Bülent Nafi ÖRNEK , Timur DÜZENLİ %T Some Remarks on Positive Real Functions and Their Circuit Applications %D 2019 %J Bitlis Eren Üniversitesi Fen Bilimleri Dergisi %P 2147-3129-2147-3188 %V 8 %N 2 %R doi: 10.17798/bitlisfen.492656 %U 10.17798/bitlisfen.492656
ISNAD ÖRNEK, Bülent Nafi , DÜZENLİ, Timur . "Some Remarks on Positive Real Functions and Their Circuit Applications". Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 8 / 2 (June 2019): 617-627. https://doi.org/10.17798/bitlisfen.492656
AMA ÖRNEK B , DÜZENLİ T . Some Remarks on Positive Real Functions and Their Circuit Applications. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi. 2019; 8(2): 617-627.
Vancouver ÖRNEK B , DÜZENLİ T . Some Remarks on Positive Real Functions and Their Circuit Applications. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi. 2019; 8(2): 627-617.