본문 바로가기
KERD
논문KCI 등재

s-CONVEX FUNCTIONS IN THE THIRD SENSE

0

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

In this paper, the concept of s-convex function in the third sense is given. Then fundamental characterizations and some basic algebraic properties of s-convex function in the third sense are presented. Also, the relations between the third sense s-convex functions according to the different values of s are examined.

Abstract

In this paper, the concept of s-convex function in the third sense is given. Then fundamental characterizations and some basic algebraic properties of s-convex function in the third sense are presented. Also, the relations between the third sense s-convex functions according to the different values of s are examined.

참고문헌 (29)

  1. Adilov G., "B􀀀1-convex Functions", Journal of Convex Analysis, 24(2), pp.505~517 (2017)
  2. Adilov G., "Some important properties of B-convex functions", Journal of Nonlinear and Convex Analysis, 19(4), pp.669~680 (2018)
  3. Adilov G., "On generalizations of the concept of convexity", Hacettepe Journal of Mathematics and Statistics, 41(5), pp.723~730 (2012)
  4. Adilov G., "On the global minimization of increasing positively homogeneous functions over the unit simplex", International Journal of Computer Mathematics, 87(12), pp.2733~2746 (2010)
  5. Bastero J, "The Theorems of Caratheodory and Gluskin for 0 < p < 1", Proceedings of the American Mathematical Society, 123(1), pp.141~144 (1995)
  6. Bayoumi A, "p-Convex Functions in Discrete Sets", International Journal of Engineering and Applied Sciences, 4(10), pp.63~66 (2017)
  7. Bayoumi A., "Foundation of complex analysis in non locally convex spaces" (2003), Mathematics Studies, Elsevier
  8. Bernu_es J., "On the shape of p-Convex hulls, 0 < p < 1", Acta Mathematica Hungarica, 74(4), pp.345~353 (1997)
  9. Breckner W. W., "Stetigkeitsaussagen fur eine Klasse verallgemekterter konvexer Funktionen in topologischen linearen Raumen", Publ. Inst. Math, 23, pp.13~20 (1978)
  10. Briec W., "B-convexity", Optimization, 53(2), pp.103~127 (2004)
  11. Briec W., "Ky Fan inequality and equilibria of abstract economies in Max-Plus and B-convexity", Journal of Mathematical Analysis and Applications, 341(1), pp.188~199 (2008)
  12. Chen F., "Several complementary inequalities to inequalities of Hermite-Hadamard type for s-convex functions", Journal of Nonlinear Science Applications, 9, pp.705~716 (2016)
  13. Dragomir S. S., "s-Orlicz convex functions in linear spaces and Jensen's discrete inequality", Journal of Mathematical Analysis and Applications, 210(2), pp.419~439 (1997)
  14. Dreves A., "Jointly convex generalized Nash equilibria and elliptic multiobjective optimal control", Journal of Optimization Theory and Applications, 168(3), pp.1065~1086 (2016)
  15. Kemali S., "B-Convexity, B􀀀1-Convexity, and Their Comparison", Numerical Functional Analysis and Optimization, 36(2), pp.133~146 (2015)
  16. Khan M. A., "Some new inequalities of Hermite-Hadamard type for s-convex functions with applications", Open Mathematics, 15(1), pp.1414~1430 (2017)
  17. Kim J, "The geometry of p-convex intersection bodies", Advances in Mathematics, 226(6), pp.5320~5337 (2011)
  18. Laraki R., "Mathematical foundations of game theory" (2019), Springer
  19. Matuszewska W., "A note on the theory of s-normed spaces of _-integrable functions", Studia Mathematica, 21, pp.107~115 (1961)
  20. Micherda B., "On some Hermite-Hadamard-Fej_er inequalities for(k,h)-convex functions", Math. Inequal. Appl, 15(4), pp.931~940 (2012)
  21. Musielak J., "Orlicz spaces and modular spaces", pp.1034~ (2006), Springer-Verlag
  22. Orlicz W., "A note on modular spaces, I", Bull. Acad. Polon. Soi., Ser. Math. Astronom Phys, 9, pp.157~162 (1961)
  23. Peck N. T., "Banach-Mazur distances and projections on p-convex spaces", Mathematische Zeitschrift, 177(1), pp.131~142 (1981)
  24. Rolewicz S., "Metric Linear Spaces" (1985), Springer
  25. Rubinov A., "Abstract convexity and global optimization" (2013), Springer Science & Business Media
  26. Sarikaya M. Z., "Some new inequalities of Hermite-Hadamard type for s-convex functions", Miskolc Mathematical Notes, 16(1), pp.491~501 (2015)
  27. Sezer S., "p-Convex Functions and Some of Their Properties", Numerical Functional Analysis and Optimization, 42(4), pp.443~459 (2021)
  28. T_naztepe G., "Separation of B􀀀1-convex Sets by B􀀀1-measurable Maps", Journal of Convex Analysis, 21(2), pp.571~580 (2014)
  29. Yesilce I., "Some Operations on B􀀀1-convex Sets", Journal of Mathematical Sciences : Advances and Applications, 39(1), pp.99~104 (2016)

관련 논문AI추천

이 간행물의 다른 논문 (19건)