A Note on Subadditivity and Antisymmetricity Involving Generalized Convex Functions.

Authors

  • R. K. Sahu  V. N. (Auto.) College, Jajpur, Odisha, India
  • B. C. Dash  Choudwar College, Cuttack, Odisha, India
  • P. C. Nayak  Reader Bhadrak (Auto.) College, Bhadrak, Odisha, India
  • D. K. Dalai  D.K. Dalai, Principal, Govt. Junior College Kendrapara, Odisha, India

Keywords:

B -subadditive function, h-invex, A-convex, C-increasing, B-decreasing, B-subadditive, h-A-invex.

Abstract

J.Sandor [1], [2], [3], [4] has studied the h-convex function which he first defined in 1988. He also introduced and studied h-invexity. In 2003 J. Sandor [5] introduced the notion of A-convexity. In this chapter we have generalized notion of B-subadditivity, antisymmetricity,A-convexity and h- invexityand studied their properties in different theorems.

References

  1. J. Sandor, Some Open Problems in the Theory of Functional Equations, Simpozium on Applications of Fundamental Equations in Education, Science and Industry. (4th June, 1988), Odorhelue - Seculese, Romania.
  2. J. Sandor, On the Principle of Condensation Singularities, Fourth National Conference on Mathematical Inequalities, Siblu, (30-31 Oct., 1992).
  3. J. Sandor, Generalised Invexity and Its Application in Optimization Theory, First Joint Conference on Modern Applied Analysis, Sieni (Romania), (12-17 June, 1995)].
  4. J. Sandor, On Certain Classes of Generalized Convex Functions with Application, I, Studia Univ, Babes-Bolyai, Math, 44, (1999), 73-84.
  5. J. Sandor, On Cerntain Classes of Generalized Convex Functions with Application, II, Studia Univ, ‘‘Babes-Bolyai’’, Mathmatica, XLVIII (1), (2002), 109-117.
  6. R.B. Dash, D.K. Dalai and N. Mishra, A Note on a Class Generalised Convex Functions with some Applications, International Review of Pure and Applied Mathematical (July - December) 2009, Volume 5, No. 2, PP. 243-253.
  7. B.C. Dash, and D.K. Dalai On a Class of Generalised Convex Function With Some Applications, American Journal of Mathematics and Mathematical Sciences, 4(1), January-June 2015. ISSN : 2278-0874. pp, 13-20.

IInternational Journal of Scientific Research in Computer Science, Engineering and Information Technology

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Published

2017-10-31

Issue

Volume 2, Issue 5, September-October-2017

Section

Research Articles

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How to Cite

[1]
R. K. Sahu, B. C. Dash, P. C. Nayak, D. K. Dalai, " A Note on Subadditivity and Antisymmetricity Involving Generalized Convex Functions., IInternational Journal of Scientific Research in Computer Science, Engineering and Information Technology(IJSRCSEIT), ISSN : 2456-3307, Volume 2, Issue 5, pp.114-120 , September-October-2017.