Research Article

SOME HERMITE-HADAMARD TYPE INEQUALITIES FOR (ϕ, p, µ)−PREINVEX FUNCTIONS

Volume: 3 Number: 1 January 31, 2020
EN

SOME HERMITE-HADAMARD TYPE INEQUALITIES FOR (ϕ, p, µ)−PREINVEX FUNCTIONS

Abstract

In the present paper, a new class of convex functions isintroduced which is called (fi,p,mu)-preinvex functions.With the help of this new class we prove some of Hermite-Hadamard type inequalities for (fi,p,mu)-preinvex functions.

Keywords

References

  1. 1 : S. S. Dragomir, Inequalities of Hermite-Hadamard type for h-convex functions on linear spaces, preprint, (2014).
  2. 2 : S. S. Dragomir, n-points inequalities of Hermite-Hadamard type for h-convex functions on linear spaces, preprint, (2014).
  3. 3 : E. K. Godunova and V. I. Levin,Inequalities for functions of a broad class that contains convex , monotone and some other forms of functions. (Russian.) Numerical mathematics and mathematical physics (Russian.), 138-142, 166, Moskov. Gos. Ped. Inst. Moscow, 1985.
  4. 4 : S. K. Khattri, Three proofs of the inequality e<(1+(1/n))^{n+0.5}, Amer. Math. Monthly, 117(3), 273-277 (2010).
  5. . 5 : A. Kilbas , H. M. Srivastava , J. J. Trujilo : Theory and applications of fractional differential equations, Elsevier B. V. ,Amsterdam, Neherlands, (2006).
  6. 6 : M. A. Latif , Some inequalities for differentiable prequasiinvex functions with applications, Konuralp J. Math., 1(2), 17-29, 2013. 7: M. A. Latif and S. S. Dragomir, Some Hermite-Hadamard type inequalities for functions whose partial derivates in absloute value are preinvex on the co-oordinates, Facta Universitasis (NIS) Ser. Math. Inform. 28(3), 257-270, (2013).

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

January 31, 2020

Submission Date

September 16, 2019

Acceptance Date

February 27, 2020

Published in Issue

Year 2020 Volume: 3 Number: 1

APA
Kılınç, S., & Yıldırım, H. (2020). SOME HERMITE-HADAMARD TYPE INEQUALITIES FOR (ϕ, p, µ)−PREINVEX FUNCTIONS. Journal of Universal Mathematics, 3(1), 103-112. https://doi.org/10.33773/jum.620712
AMA
1.Kılınç S, Yıldırım H. SOME HERMITE-HADAMARD TYPE INEQUALITIES FOR (ϕ, p, µ)−PREINVEX FUNCTIONS. JUM. 2020;3(1):103-112. doi:10.33773/jum.620712
Chicago
Kılınç, Seda, and Hüseyin Yıldırım. 2020. “SOME HERMITE-HADAMARD TYPE INEQUALITIES FOR (ϕ, P, µ)−PREINVEX FUNCTIONS”. Journal of Universal Mathematics 3 (1): 103-12. https://doi.org/10.33773/jum.620712.
EndNote
Kılınç S, Yıldırım H (January 1, 2020) SOME HERMITE-HADAMARD TYPE INEQUALITIES FOR (ϕ, p, µ)−PREINVEX FUNCTIONS. Journal of Universal Mathematics 3 1 103–112.
IEEE
[1]S. Kılınç and H. Yıldırım, “SOME HERMITE-HADAMARD TYPE INEQUALITIES FOR (ϕ, p, µ)−PREINVEX FUNCTIONS”, JUM, vol. 3, no. 1, pp. 103–112, Jan. 2020, doi: 10.33773/jum.620712.
ISNAD
Kılınç, Seda - Yıldırım, Hüseyin. “SOME HERMITE-HADAMARD TYPE INEQUALITIES FOR (ϕ, P, µ)−PREINVEX FUNCTIONS”. Journal of Universal Mathematics 3/1 (January 1, 2020): 103-112. https://doi.org/10.33773/jum.620712.
JAMA
1.Kılınç S, Yıldırım H. SOME HERMITE-HADAMARD TYPE INEQUALITIES FOR (ϕ, p, µ)−PREINVEX FUNCTIONS. JUM. 2020;3:103–112.
MLA
Kılınç, Seda, and Hüseyin Yıldırım. “SOME HERMITE-HADAMARD TYPE INEQUALITIES FOR (ϕ, P, µ)−PREINVEX FUNCTIONS”. Journal of Universal Mathematics, vol. 3, no. 1, Jan. 2020, pp. 103-12, doi:10.33773/jum.620712.
Vancouver
1.Seda Kılınç, Hüseyin Yıldırım. SOME HERMITE-HADAMARD TYPE INEQUALITIES FOR (ϕ, p, µ)−PREINVEX FUNCTIONS. JUM. 2020 Jan. 1;3(1):103-12. doi:10.33773/jum.620712