SOME INEQUALITIES FOR B -1 -CONVEX FUNCTIONS VIA FRACTIONAL INTEGRAL OPERATOR

Volume: 9 Number: 3 September 1, 2019
  • I. Yesilce
EN

SOME INEQUALITIES FOR B -1 -CONVEX FUNCTIONS VIA FRACTIONAL INTEGRAL OPERATOR

Abstract

In this paper, B-1-convexity which is an abstract convexity type is studied. In addition, some new Hermite-Hadamard type inequalities for B-1-convex functions involving Riemann-Liouville type integral operators that are more general from classic integral operators are proven.

Keywords

References

  1. [1] G. Adilov, (2011), Increasing Co-radiant Functions and Hermite-Hadamard Type Inequalities, Mathematical Inequalities and Applications, 14 (1), pp. 45-60.
  2. [2] G. Adilov, S. Kemali, (2009), Abstract convexity and Hermite-Hadamard Type Inequalities, Journal of Inequalities and Applications, 2009, 13 pages.
  3. [3] G. Adilov, S. Kemali, (2007), Hermite-Hadamard-Type Inequalities For Increasing Positively Homogeneous Functions, Journal of Inequalities and Applications, 2007, 10 pages.
  4. [4] G. Adilov and A. Rubinov, (2006), B-convex Sets and Functions, Numerical Functional Analysis and Optimization, 27 (3-4), pp. 237-257.
  5. [5] G. Adilov and G. Tinaztepe, (2009), The Sharpening of Some Inequalities via Abstract Convexity, Mathematical Inequalities and Applications, 12 (1), pp. 33-51.
  6. [6] G. Adilov and I. Yesilce, (2017), B −1−convex Functions, Journal of Convex Analysis, 24 (2), pp. 505-517.
  7. [7] G. Adilov and I. Yesilce, (2012), B −1−convex Sets and B −1−measurable Maps, Numerical Functional Analysis and Optimization, 33 (2), pp. 131-141.
  8. [8] G. Adilov and I. Yesilce, (2012), On Generalization of the Concept of Convexity, Hacettepe Journal of Mathematics and Statistics, 41 (5), pp. 723-730.

Details

Primary Language

English

Subjects

-

Journal Section

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Authors

I. Yesilce This is me

Publication Date

September 1, 2019

Submission Date

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Acceptance Date

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Published in Issue

Year 2019 Volume: 9 Number: 3

APA
Yesilce, I. (2019). SOME INEQUALITIES FOR B -1 -CONVEX FUNCTIONS VIA FRACTIONAL INTEGRAL OPERATOR. TWMS Journal of Applied and Engineering Mathematics, 9(3), 620-625. https://izlik.org/JA99XF65FZ
AMA
1.Yesilce I. SOME INEQUALITIES FOR B -1 -CONVEX FUNCTIONS VIA FRACTIONAL INTEGRAL OPERATOR. JAEM. 2019;9(3):620-625. https://izlik.org/JA99XF65FZ
Chicago
Yesilce, I. 2019. “SOME INEQUALITIES FOR B -1 -CONVEX FUNCTIONS VIA FRACTIONAL INTEGRAL OPERATOR”. TWMS Journal of Applied and Engineering Mathematics 9 (3): 620-25. https://izlik.org/JA99XF65FZ.
EndNote
Yesilce I (September 1, 2019) SOME INEQUALITIES FOR B -1 -CONVEX FUNCTIONS VIA FRACTIONAL INTEGRAL OPERATOR. TWMS Journal of Applied and Engineering Mathematics 9 3 620–625.
IEEE
[1]I. Yesilce, “SOME INEQUALITIES FOR B -1 -CONVEX FUNCTIONS VIA FRACTIONAL INTEGRAL OPERATOR”, JAEM, vol. 9, no. 3, pp. 620–625, Sept. 2019, [Online]. Available: https://izlik.org/JA99XF65FZ
ISNAD
Yesilce, I. “SOME INEQUALITIES FOR B -1 -CONVEX FUNCTIONS VIA FRACTIONAL INTEGRAL OPERATOR”. TWMS Journal of Applied and Engineering Mathematics 9/3 (September 1, 2019): 620-625. https://izlik.org/JA99XF65FZ.
JAMA
1.Yesilce I. SOME INEQUALITIES FOR B -1 -CONVEX FUNCTIONS VIA FRACTIONAL INTEGRAL OPERATOR. JAEM. 2019;9:620–625.
MLA
Yesilce, I. “SOME INEQUALITIES FOR B -1 -CONVEX FUNCTIONS VIA FRACTIONAL INTEGRAL OPERATOR”. TWMS Journal of Applied and Engineering Mathematics, vol. 9, no. 3, Sept. 2019, pp. 620-5, https://izlik.org/JA99XF65FZ.
Vancouver
1.I. Yesilce. SOME INEQUALITIES FOR B -1 -CONVEX FUNCTIONS VIA FRACTIONAL INTEGRAL OPERATOR. JAEM [Internet]. 2019 Sep. 1;9(3):620-5. Available from: https://izlik.org/JA99XF65FZ