# Fuzzy Ostrowski type inequalities via $\phi$-$\lambda$-convex functions

Volume 28, Issue 3, pp 224--235
Publication Date: June 26, 2022 Submission Date: August 22, 2021 Revision Date: December 13, 2021 Accteptance Date: March 18, 2022
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### Authors

A. Hassan - Department of Mathematics, Shah Abdul Latif University, Khairpur-66020, Pakistan. A. R. Khan - Department of Mathematics, University of Karachi, University Road, Karachi-75270, Pakistan. F. Mehmood - Department of Mathematics, Dawood University of Engineering and Technology, M. A Jinnah Road, Karachi-74800, Pakistan. M. Khan - Department of Mathematics, Dawood University of Engineering and Technology, M. A Jinnah Road, Karachi-74800, Pakistan.

### Abstract

We would like to state well-known Ostrowski inequality via $\phi$-$\lambda$-convex by using the Fuzzy Reimann integrals. In addition, we establish some Fuzzy Ostrowski type inequalities for the class of functions whose derivatives in absolute values at certain powers are $\phi$-$\lambda$-convex by Holder's and power mean inequalities. We are introducing very first time that the class of $\phi$-$\lambda$-convex function, which is the generalization of many important classes including class of $h$-convex, Godunova-Levin $s$-convex, $s$-convex in the $2^{\rm nd}$ kind and hence contains convex functions. It also contains class of $P$-convex and class of Godunova-Levin. In this way we also capture the results with respect to convexity of functions.

### Share and Cite

##### ISRP Style

A. Hassan, A. R. Khan, F. Mehmood, M. Khan, Fuzzy Ostrowski type inequalities via $\phi$-$\lambda$-convex functions, Journal of Mathematics and Computer Science, 28 (2023), no. 3, 224--235

##### AMA Style

Hassan A., Khan A. R., Mehmood F., Khan M., Fuzzy Ostrowski type inequalities via $\phi$-$\lambda$-convex functions. J Math Comput SCI-JM. (2023); 28(3):224--235

##### Chicago/Turabian Style

Hassan, A., Khan, A. R., Mehmood, F., Khan, M.. "Fuzzy Ostrowski type inequalities via $\phi$-$\lambda$-convex functions." Journal of Mathematics and Computer Science, 28, no. 3 (2023): 224--235

### Keywords

• Ostrowski inequality
• convex functions
• fuzzy sets

•  26A33
•  26A51
•  26D15
•  26D99
•  47A30
•  33B10

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