FUZZY OSTROWSKI TYPE INEQUALITIES FOR (α,m)-CONVEX FUNCTIONS

Erhan Set; Serkan Karataş; İlker Mumcu

EN

FUZZY OSTROWSKI TYPE INEQUALITIES FOR (α,m)-CONVEX FUNCTIONS

Abstract

− Let f : I → R, where I ⊆ R is an interval, be a mapping differentiable in the interiorI◦of I, and let a, b ∈ I◦with a < b. If |f0(x)| ≤ M for all x ∈ [a, b], then the following inequalityholds:¯ ¯ ¯f (x) −¯ ¯ b − a Z b a f (t)dt¯≤ M (b − a)¯ ¯ ¯ ¯ " + ¡ x −a+b(b − a)2¢2# (1)

Keywords

− (α, m)−convex function, Ostrowski inequality, Fuzzy Riemann integral

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

Erhan Set This is me

Serkan Karataş This is me

İlker Mumcu This is me

Publication Date

July 1, 2015

Submission Date

July 1, 2015

Acceptance Date

-

Published in Issue

Year 2015 Number: 6

IZ

https://izlik.org/JA52JU67ZT

Cite

RIS / Bibtex

APA

Set, E., Karataş, S., & Mumcu, İ. (2015). FUZZY OSTROWSKI TYPE INEQUALITIES FOR (α,m)-CONVEX FUNCTIONS. Journal of New Theory, 6, 54-65. https://izlik.org/JA52JU67ZT

AMA

1.Set E, Karataş S, Mumcu İ. FUZZY OSTROWSKI TYPE INEQUALITIES FOR (α,m)-CONVEX FUNCTIONS. JNT. 2015;(6):54-65. https://izlik.org/JA52JU67ZT

Chicago

Set, Erhan, Serkan Karataş, and İlker Mumcu. 2015. “FUZZY OSTROWSKI TYPE INEQUALITIES FOR (α,m)-CONVEX FUNCTIONS”. Journal of New Theory, nos. 6: 54-65. https://izlik.org/JA52JU67ZT.

EndNote

Set E, Karataş S, Mumcu İ (July 1, 2015) FUZZY OSTROWSKI TYPE INEQUALITIES FOR (α,m)-CONVEX FUNCTIONS. Journal of New Theory 6 54–65.

IEEE

[1]E. Set, S. Karataş, and İ. Mumcu, “FUZZY OSTROWSKI TYPE INEQUALITIES FOR (α,m)-CONVEX FUNCTIONS”, JNT, no. 6, pp. 54–65, July 2015, [Online]. Available: https://izlik.org/JA52JU67ZT

ISNAD

Set, Erhan - Karataş, Serkan - Mumcu, İlker. “FUZZY OSTROWSKI TYPE INEQUALITIES FOR (α,m)-CONVEX FUNCTIONS”. Journal of New Theory. 6 (July 1, 2015): 54-65. https://izlik.org/JA52JU67ZT.

JAMA

1.Set E, Karataş S, Mumcu İ. FUZZY OSTROWSKI TYPE INEQUALITIES FOR (α,m)-CONVEX FUNCTIONS. JNT. 2015;:54–65.

MLA

Set, Erhan, et al. “FUZZY OSTROWSKI TYPE INEQUALITIES FOR (α,m)-CONVEX FUNCTIONS”. Journal of New Theory, no. 6, July 2015, pp. 54-65, https://izlik.org/JA52JU67ZT.

Vancouver

1.Erhan Set, Serkan Karataş, İlker Mumcu. FUZZY OSTROWSKI TYPE INEQUALITIES FOR (α,m)-CONVEX FUNCTIONS. JNT [Internet]. 2015 Jul. 1;(6):54-65. Available from: https://izlik.org/JA52JU67ZT