Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2021, Cilt: 9 Sayı: 2, 260 - 267, 15.10.2021

Öz

Kaynakça

  • G. Adilov and I. Yesilce, $B^{-1}$-convex Functions, Journal of Convex Analysis, 24 (2)(2017), 505--517.
  • G. Adilov and I. Yesilce, Some important properties of B-convex functions, Journal of Nonlinear and Convex Analysis. {19}(4) (2018), 669--680
  • G. Adilov and I. Yesilce, On generalizations of the concept of convexity, Hacettepe Journal of Mathematics and Statistics. 41 (5)(2012), 723--730
  • G. Adilov, G. Tınaztepe and R. Tınaztepe, On the global minimization of increasing positively homogeneous functions over the unit simplex, International Journal of Computer Mathematics. 87 (12)(2010), 2733-2746.
  • M. Alomari and M. Darus, On co-ordinated s-convex functions, Int. Math. Forum. 3(40) (2008).
  • K. A. Al-Hujaili, T. Y. Al-Naffouri and M. Moinuddin, (2016, March). The steady-state of the (Normalized) LMS is schur convex. In 2016 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) (pp. 4900-4904). IEEE.
  • A. Bayoumi and A. F. Ahmed, p-Convex Functions in Discrete Sets, International Journal of Engineering and Applied Sciences. 4 (10)(2017), 63--66.
  • A. Bayoumi, Foundation of complex analysis in non locally convex spaces, North Holland, Mathematics Studies. 193, Elsevier (2003).
  • W. W. Breckner, Stetigkeitsaussagen f\"{u}r eine Klasse verallgemekterter konvexer Funktionen in topologischen linearen Raumen, Publ. Inst. Math. 23 (1978), 13--20.
  • W. Briec and C. Horvath, $B$-convexity, Optimization. 53(2)(2004), 103--127.
  • W. Briec and C. Horvath, Nash points, Ky Fan inequality and equilibria of abstract economies in Max-Plus and B-convexity. Journal of Mathematical Analysis and Applications. 341(1)(2008), 188-199.
  • W. Briec, and C. Horvath, B-convex production model for evaluating performance of firms. Journal of Mathematical Analysis and Applications, 355(1) (2009), 131-144.
  • S. Kemali, I. Yesilce and G. Adilov, $B$-Convexity, $B^{-1}$-Convexity, and Their Comparison, Numerical Functional Analysis and Optimization. 36(2)(2015), 133--146.
  • Y. C. Kwun, M. Tanveer, W. Nazeer and K. Gdawiec, S. M. Kang, Mandelbrot and Julia Sets via Jungck--CR Iteration with \$ s\$--Convexity. IEEE Access, 7, (2019), 12167-12176.
  • B. Micherda and T. Rajba, On some Hermite-Hadamard-Fej\'{e}r inequalities for (k, h)-convex functions. Math. Inequal. Appl. 15 (4)(2012), 931-940.
  • J. Musielak, Orlicz spaces and modular spaces, Springer-Verlag, 2006
  • M. A. Noor, K. I. Noor and T. M. Rassias, Relative strongly exponentially convex functions, Nonlinear Analysis and Global Optimization (2021) 357-371.
  • G. Tınaztepe, I. Yesilce and G. Adilov, Separation of $B^{-1}$-convex Sets by $B^{-1}$-measurable Maps, Journal of Convex Analysis. 21 (2) (2014), 571--580.
  • V. M. Tikhomirov, The evolution of methods of convex optimization. The American Mathematical Monthly, 103(1) (1996), 65-71.
  • Z. Yao, K. Liu, S. C. Leung and K. K. Lai, Single period stochastic inventory problems with ordering or returns policies. Computers and Industrial Engineering, 61(2) (2011), 242-253.
  • I. Yesilce and G. Adilov, Some Operations on $B^{-1}$ -convex Sets. Journal of Mathematical Sciences: Advances and Applications. 39 (1) (2016), 99--104.

s-Convex Functions in the Fourth Sense and Some of Their Properties

Yıl 2021, Cilt: 9 Sayı: 2, 260 - 267, 15.10.2021

Öz

s-Convex functions are introduced. Its main characterizations, algebraic and
functional properties are presented. Also, some relations between these
functions and the other types of ss-convex functions are given.

Kaynakça

  • G. Adilov and I. Yesilce, $B^{-1}$-convex Functions, Journal of Convex Analysis, 24 (2)(2017), 505--517.
  • G. Adilov and I. Yesilce, Some important properties of B-convex functions, Journal of Nonlinear and Convex Analysis. {19}(4) (2018), 669--680
  • G. Adilov and I. Yesilce, On generalizations of the concept of convexity, Hacettepe Journal of Mathematics and Statistics. 41 (5)(2012), 723--730
  • G. Adilov, G. Tınaztepe and R. Tınaztepe, On the global minimization of increasing positively homogeneous functions over the unit simplex, International Journal of Computer Mathematics. 87 (12)(2010), 2733-2746.
  • M. Alomari and M. Darus, On co-ordinated s-convex functions, Int. Math. Forum. 3(40) (2008).
  • K. A. Al-Hujaili, T. Y. Al-Naffouri and M. Moinuddin, (2016, March). The steady-state of the (Normalized) LMS is schur convex. In 2016 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) (pp. 4900-4904). IEEE.
  • A. Bayoumi and A. F. Ahmed, p-Convex Functions in Discrete Sets, International Journal of Engineering and Applied Sciences. 4 (10)(2017), 63--66.
  • A. Bayoumi, Foundation of complex analysis in non locally convex spaces, North Holland, Mathematics Studies. 193, Elsevier (2003).
  • W. W. Breckner, Stetigkeitsaussagen f\"{u}r eine Klasse verallgemekterter konvexer Funktionen in topologischen linearen Raumen, Publ. Inst. Math. 23 (1978), 13--20.
  • W. Briec and C. Horvath, $B$-convexity, Optimization. 53(2)(2004), 103--127.
  • W. Briec and C. Horvath, Nash points, Ky Fan inequality and equilibria of abstract economies in Max-Plus and B-convexity. Journal of Mathematical Analysis and Applications. 341(1)(2008), 188-199.
  • W. Briec, and C. Horvath, B-convex production model for evaluating performance of firms. Journal of Mathematical Analysis and Applications, 355(1) (2009), 131-144.
  • S. Kemali, I. Yesilce and G. Adilov, $B$-Convexity, $B^{-1}$-Convexity, and Their Comparison, Numerical Functional Analysis and Optimization. 36(2)(2015), 133--146.
  • Y. C. Kwun, M. Tanveer, W. Nazeer and K. Gdawiec, S. M. Kang, Mandelbrot and Julia Sets via Jungck--CR Iteration with \$ s\$--Convexity. IEEE Access, 7, (2019), 12167-12176.
  • B. Micherda and T. Rajba, On some Hermite-Hadamard-Fej\'{e}r inequalities for (k, h)-convex functions. Math. Inequal. Appl. 15 (4)(2012), 931-940.
  • J. Musielak, Orlicz spaces and modular spaces, Springer-Verlag, 2006
  • M. A. Noor, K. I. Noor and T. M. Rassias, Relative strongly exponentially convex functions, Nonlinear Analysis and Global Optimization (2021) 357-371.
  • G. Tınaztepe, I. Yesilce and G. Adilov, Separation of $B^{-1}$-convex Sets by $B^{-1}$-measurable Maps, Journal of Convex Analysis. 21 (2) (2014), 571--580.
  • V. M. Tikhomirov, The evolution of methods of convex optimization. The American Mathematical Monthly, 103(1) (1996), 65-71.
  • Z. Yao, K. Liu, S. C. Leung and K. K. Lai, Single period stochastic inventory problems with ordering or returns policies. Computers and Industrial Engineering, 61(2) (2011), 242-253.
  • I. Yesilce and G. Adilov, Some Operations on $B^{-1}$ -convex Sets. Journal of Mathematical Sciences: Advances and Applications. 39 (1) (2016), 99--104.
Toplam 21 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Articles
Yazarlar

Zeynep Eken 0000-0002-8939-4653

Sevda Sezer 0000-0001-6448-193X

Gültekin Tınaztepe 0000-0001-7594-1620

Gabil Adilov 0000-0003-3012-6176

Yayımlanma Tarihi 15 Ekim 2021
Gönderilme Tarihi 26 Haziran 2021
Kabul Tarihi 30 Ekim 2021
Yayımlandığı Sayı Yıl 2021 Cilt: 9 Sayı: 2

Kaynak Göster

APA Eken, Z., Sezer, S., Tınaztepe, G., Adilov, G. (2021). s-Convex Functions in the Fourth Sense and Some of Their Properties. Konuralp Journal of Mathematics, 9(2), 260-267.
AMA Eken Z, Sezer S, Tınaztepe G, Adilov G. s-Convex Functions in the Fourth Sense and Some of Their Properties. Konuralp J. Math. Ekim 2021;9(2):260-267.
Chicago Eken, Zeynep, Sevda Sezer, Gültekin Tınaztepe, ve Gabil Adilov. “S-Convex Functions in the Fourth Sense and Some of Their Properties”. Konuralp Journal of Mathematics 9, sy. 2 (Ekim 2021): 260-67.
EndNote Eken Z, Sezer S, Tınaztepe G, Adilov G (01 Ekim 2021) s-Convex Functions in the Fourth Sense and Some of Their Properties. Konuralp Journal of Mathematics 9 2 260–267.
IEEE Z. Eken, S. Sezer, G. Tınaztepe, ve G. Adilov, “s-Convex Functions in the Fourth Sense and Some of Their Properties”, Konuralp J. Math., c. 9, sy. 2, ss. 260–267, 2021.
ISNAD Eken, Zeynep vd. “S-Convex Functions in the Fourth Sense and Some of Their Properties”. Konuralp Journal of Mathematics 9/2 (Ekim 2021), 260-267.
JAMA Eken Z, Sezer S, Tınaztepe G, Adilov G. s-Convex Functions in the Fourth Sense and Some of Their Properties. Konuralp J. Math. 2021;9:260–267.
MLA Eken, Zeynep vd. “S-Convex Functions in the Fourth Sense and Some of Their Properties”. Konuralp Journal of Mathematics, c. 9, sy. 2, 2021, ss. 260-7.
Vancouver Eken Z, Sezer S, Tınaztepe G, Adilov G. s-Convex Functions in the Fourth Sense and Some of Their Properties. Konuralp J. Math. 2021;9(2):260-7.
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