Yıl: 2019 Cilt: 7 Sayı: 2 Sayfa Aralığı: 133 - 145 Metin Dili: İngilizce DOI: 10.20290/estubtdb.609525 İndeks Tarihi: 07-01-2021

HARDY-SOBOLEV-MAZYA INEQUALITY FOR NABLA TIME SCALE CALCULUS

Öz:
First part of the study is mainly about some missing concepts of the measure theory of nabla time scale calculus. In thesecond part, as an application of the nabla measure theory, especially the nabla Sobolev spaces, Hardy- Sobolev MazyaInequality on nabla time scale is obtained and given.
Anahtar Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
  • [1] Deniz A. Measure theory on time scales. MSc, Graduate School of Engineering and Sciences of Izmir Institute of Technology, Turkey, 2007.
  • [2] Cabada A and Vivero D. Expression of the Lebesgue Δ −Integral on Time Scales as a Usual Lebesgue Intregral; Application to the Calculus of Δ −Antiderivatives, Elsevier 4, 2004. pp.291- 310.
  • [3] Guseinov SG. Integration on Time Scales, Elsevier Academic Press, No. 285, 2003. pp. 107-127.
  • [4] Hilger S: Analysis on measure chains - a unified approach to continuous and discrete calculus. Results Math. 1990. 18, 18-56.
  • [5] Roussas GG. An Introduction to Measure Theoretic Probability, Elsevier Academic Press, California, 2004.
  • [6] Bohner M and Peterson A. Dynamic Equations on Time Scales; An Introduction with Applications, Birkhauser, Boston, 2001.
  • [7] Rudin W. Real and Complex Analysis, McGraw-Hill, New York, 1987.
  • [8] Ferreira RAC, Ammi MRS, Torres DFM, Diamond-alpha Integral Inequalities on Time Scales Int. J. Math.Stat.5(A09), 2009, 52–59.
  • [9] Ozkan UM, Sarikaya MZ, Yildirim H. Extensions of certain integral inequalities on time scales, Appl. Math. Lett. 2008, 21 (10), 993-1000.
  • [10] Williams PA. Fractional Calculus on Time Scales with Taylor’s Theorem Fract. Calc. Appl. Anal. 2012, 15, 4.
  • [11] Guvenilir AF, Kaymakcalan B, Pelen NN. Constantin’s inequality for nabla and diamond-alpha derivative, J. Inequal. Appl. 2015, 2015:167.
APA PELEN N (2019). HARDY-SOBOLEV-MAZYA INEQUALITY FOR NABLA TIME SCALE CALCULUS. , 133 - 145. 10.20290/estubtdb.609525
Chicago PELEN Neslihan Nesliye HARDY-SOBOLEV-MAZYA INEQUALITY FOR NABLA TIME SCALE CALCULUS. (2019): 133 - 145. 10.20290/estubtdb.609525
MLA PELEN Neslihan Nesliye HARDY-SOBOLEV-MAZYA INEQUALITY FOR NABLA TIME SCALE CALCULUS. , 2019, ss.133 - 145. 10.20290/estubtdb.609525
AMA PELEN N HARDY-SOBOLEV-MAZYA INEQUALITY FOR NABLA TIME SCALE CALCULUS. . 2019; 133 - 145. 10.20290/estubtdb.609525
Vancouver PELEN N HARDY-SOBOLEV-MAZYA INEQUALITY FOR NABLA TIME SCALE CALCULUS. . 2019; 133 - 145. 10.20290/estubtdb.609525
IEEE PELEN N "HARDY-SOBOLEV-MAZYA INEQUALITY FOR NABLA TIME SCALE CALCULUS." , ss.133 - 145, 2019. 10.20290/estubtdb.609525
ISNAD PELEN, Neslihan Nesliye. "HARDY-SOBOLEV-MAZYA INEQUALITY FOR NABLA TIME SCALE CALCULUS". (2019), 133-145. https://doi.org/10.20290/estubtdb.609525
APA PELEN N (2019). HARDY-SOBOLEV-MAZYA INEQUALITY FOR NABLA TIME SCALE CALCULUS. Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi b- Teorik Bilimler, 7(2), 133 - 145. 10.20290/estubtdb.609525
Chicago PELEN Neslihan Nesliye HARDY-SOBOLEV-MAZYA INEQUALITY FOR NABLA TIME SCALE CALCULUS. Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi b- Teorik Bilimler 7, no.2 (2019): 133 - 145. 10.20290/estubtdb.609525
MLA PELEN Neslihan Nesliye HARDY-SOBOLEV-MAZYA INEQUALITY FOR NABLA TIME SCALE CALCULUS. Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi b- Teorik Bilimler, vol.7, no.2, 2019, ss.133 - 145. 10.20290/estubtdb.609525
AMA PELEN N HARDY-SOBOLEV-MAZYA INEQUALITY FOR NABLA TIME SCALE CALCULUS. Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi b- Teorik Bilimler. 2019; 7(2): 133 - 145. 10.20290/estubtdb.609525
Vancouver PELEN N HARDY-SOBOLEV-MAZYA INEQUALITY FOR NABLA TIME SCALE CALCULUS. Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi b- Teorik Bilimler. 2019; 7(2): 133 - 145. 10.20290/estubtdb.609525
IEEE PELEN N "HARDY-SOBOLEV-MAZYA INEQUALITY FOR NABLA TIME SCALE CALCULUS." Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi b- Teorik Bilimler, 7, ss.133 - 145, 2019. 10.20290/estubtdb.609525
ISNAD PELEN, Neslihan Nesliye. "HARDY-SOBOLEV-MAZYA INEQUALITY FOR NABLA TIME SCALE CALCULUS". Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi b- Teorik Bilimler 7/2 (2019), 133-145. https://doi.org/10.20290/estubtdb.609525