Araştırma Makalesi
BibTex RIS Kaynak Göster

More on Translationally Slowly Varying Sequences

Yıl 2019, Cilt: 1 Sayı: 1, 24 - 29, 09.04.2019

Dragan Djurcic Ljubiša D. R. Kočinac

Öz

We define and study an equivalence relation in the class ${\sf Tr(SV_s)}$ of translationally slowly varying positive real sequences and its relations with selection principles and game theory. We also prove a game-theoretic result for translationally rapidly varying sequences.

Anahtar Kelimeler

Rapid equivalence Class $R_{s;\infty}$ Selection principles

Kaynakça

  • [1] N.H. Bingham, C.M. Goldie, J.L. Teugels, Regular Variation, CambridgeUniv. Press, Cambridge, 1987.
  • [2] D. Djurcic, Lj.D.R. Kocinac, M.R. Zizovic, Some properties of rapidly varying sequences, J. Math. Anal. Appl. 327:2 (2007) 1297-1306.
  • [3] D. Djuric, Lj.D.R. Kocinac, M.R. Zizovic, Classes of sequences of real numbers, games and selection properties, Topology Appl. 156:1 (2008) 46-55.
  • [4] D. Djurcic, Lj.D.R. Kocinac, M.R. Zizovic, A few remarks on divergent sequences: Rates of divergence, J. Math. Anal. Appl. 360:2 (2009) 588-598.
  • [5] D. Djurcic, Lj.D.R. Kocinac, M.R. Zizovic, A few remarks on divergent sequences: rates of divergence II, J. Math. Anal. Appl. 367:2 (2010) 705-709.
  • [6] D. Djurcic, A. Torgasev, S. Jesic, The strong asymptotic equivalence and the generalized inverse, Siber. Math. J. 49:4 (2008) 786-795.
  • [7] L. de Haan, On Regular Variation and its Applications to the Weak Convergence of Sample Extremes, Math. Centre Tracts, Vol. 32, CWI, Amsterdam, 1970.
  • [8] J. Karamata, Sur un mode de croissance reguliere des functions, Mathematica(Cluj) 4 (1930) 38-53.
  • [9] Lj.D.R. Kocinac, Selected results on selection principle, In: Proc. Third.Sem. Geom. Topology, Tabriz, Iran (2004) 71-104.
  • [10] Lj.D.R. Kocinac, On the ®i-selection principles and games, Cont. Math.533 (2011) 107-124.
  • [11] Lj.D.R. Kocinac, D. Djurcic, J.V. Manojlovic, Regular and Rapid Variations and Some Applications, In: M. Ruzhansky, H. Dutta, R.P. Agarwal(eds.), Mathematical Analysis and Applications: Selected Topics, Chapter12, John Wiley & Sons, Inc., (2018) 414-474.
  • [12] V. Timotic, D. Djurcic, R.M. Nikolic, On slowly varying sequences, Filomat29:1 (2015) 7-12

Yıl 2019, Cilt: 1 Sayı: 1, 24 - 29, 09.04.2019

Dragan Djurcic Ljubiša D. R. Kočinac

Öz

Kaynakça

  • [1] N.H. Bingham, C.M. Goldie, J.L. Teugels, Regular Variation, CambridgeUniv. Press, Cambridge, 1987.
  • [2] D. Djurcic, Lj.D.R. Kocinac, M.R. Zizovic, Some properties of rapidly varying sequences, J. Math. Anal. Appl. 327:2 (2007) 1297-1306.
  • [3] D. Djuric, Lj.D.R. Kocinac, M.R. Zizovic, Classes of sequences of real numbers, games and selection properties, Topology Appl. 156:1 (2008) 46-55.
  • [4] D. Djurcic, Lj.D.R. Kocinac, M.R. Zizovic, A few remarks on divergent sequences: Rates of divergence, J. Math. Anal. Appl. 360:2 (2009) 588-598.
  • [5] D. Djurcic, Lj.D.R. Kocinac, M.R. Zizovic, A few remarks on divergent sequences: rates of divergence II, J. Math. Anal. Appl. 367:2 (2010) 705-709.
  • [6] D. Djurcic, A. Torgasev, S. Jesic, The strong asymptotic equivalence and the generalized inverse, Siber. Math. J. 49:4 (2008) 786-795.
  • [7] L. de Haan, On Regular Variation and its Applications to the Weak Convergence of Sample Extremes, Math. Centre Tracts, Vol. 32, CWI, Amsterdam, 1970.
  • [8] J. Karamata, Sur un mode de croissance reguliere des functions, Mathematica(Cluj) 4 (1930) 38-53.
  • [9] Lj.D.R. Kocinac, Selected results on selection principle, In: Proc. Third.Sem. Geom. Topology, Tabriz, Iran (2004) 71-104.
  • [10] Lj.D.R. Kocinac, On the ®i-selection principles and games, Cont. Math.533 (2011) 107-124.
  • [11] Lj.D.R. Kocinac, D. Djurcic, J.V. Manojlovic, Regular and Rapid Variations and Some Applications, In: M. Ruzhansky, H. Dutta, R.P. Agarwal(eds.), Mathematical Analysis and Applications: Selected Topics, Chapter12, John Wiley & Sons, Inc., (2018) 414-474.
  • [12] V. Timotic, D. Djurcic, R.M. Nikolic, On slowly varying sequences, Filomat29:1 (2015) 7-12
Toplam 12 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Articles
Yazarlar

Dragan Djurcic Bu kişi benim

Ljubiša D. R. Kočinac

Yayımlanma Tarihi 9 Nisan 2019
Kabul Tarihi 20 Mart 2019
Yayımlandığı Sayı Yıl 2019 Cilt: 1 Sayı: 1

Kaynak Göster

APA Djurcic, D., & Kočinac, L. D. R. (2019). More on Translationally Slowly Varying Sequences. Maltepe Journal of Mathematics, 1(1), 24-29.
AMA Djurcic D, Kočinac LDR. More on Translationally Slowly Varying Sequences. Maltepe Journal of Mathematics. Nisan 2019;1(1):24-29.
Chicago Djurcic, Dragan, ve Ljubiša D. R. Kočinac. “More on Translationally Slowly Varying Sequences”. Maltepe Journal of Mathematics 1, sy. 1 (Nisan 2019): 24-29.
EndNote Djurcic D, Kočinac LDR (01 Nisan 2019) More on Translationally Slowly Varying Sequences. Maltepe Journal of Mathematics 1 1 24–29.
IEEE D. Djurcic ve L. D. R. Kočinac, “More on Translationally Slowly Varying Sequences”, Maltepe Journal of Mathematics, c. 1, sy. 1, ss. 24–29, 2019.
ISNAD Djurcic, Dragan - Kočinac, Ljubiša D. R. “More on Translationally Slowly Varying Sequences”. Maltepe Journal of Mathematics 1/1 (Nisan 2019), 24-29.
JAMA Djurcic D, Kočinac LDR. More on Translationally Slowly Varying Sequences. Maltepe Journal of Mathematics. 2019;1:24–29.
MLA Djurcic, Dragan ve Ljubiša D. R. Kočinac. “More on Translationally Slowly Varying Sequences”. Maltepe Journal of Mathematics, c. 1, sy. 1, 2019, ss. 24-29.
Vancouver Djurcic D, Kočinac LDR. More on Translationally Slowly Varying Sequences. Maltepe Journal of Mathematics. 2019;1(1):24-9.
 Kapak Resmi İndir

Creative Commons License
The published articles in MJM are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

ISSN 2667-7660