NEW COMPUTATIONS OF OSTROWSKI-TYPE INEQUALITY PERTAINING TO FRACTAL STYLE WITH APPLICATIONS

Maysaa Al Qurashi (), Saima Rashid (), Aasma Khalid (), Yeliz Karaca () and Yu-Ming Chu
Additional contact information
Maysaa Al Qurashi: Department of Mathematics, King Saud University, P. O. Box 22452, Riyadh 11495, Saudi Arabia
Saima Rashid: Department of Mathematics, Government College University, Faisalabad 38600, Pakistan
Aasma Khalid: Department of Mathematics, Government College Women University Faisalabad, Faisalabad 38600, Pakistan
Yeliz Karaca: University of Massachusetts Medical School, Worcester, MA 01655, USA
Yu-Ming Chu: Department of Mathematics, Huzhou University, Huzhou 313000, P. R. China

FRACTALS (fractals), 2021, vol. 29, issue 05, 1-26

Abstract: The purpose of this paper is to provide novel estimates of Ostrowski-type inequalities in a much simpler and shorter way of some recent significant results in the context of a fractal set ℠α̃. By using our new approach, we established an auxiliary result that correlates with generalized convex (𠒢𠒞) and concave functions for absolutely continuous functions with second-order local differentiable mappings. Moreover, we derived some companions of Ostrowski-type inequalities belonging to 𠒱(2α̃) ∈ L ∞[s1,s2],𠒱(2α̃) ∈ L p[s1,s2] and 𠒱(2α̃) ∈ L 1[s1,s2] in local fractional sense. Our results generalize and offer better bounds than many known results in the existing literature associated with trapezoidal and midpoint formula. As an application perspective, we derived several estimation-type outcomes by the use of generalized α̃-type special means formula provided here to illustrate the usability of the obtained results. Our study contributes to a better understanding of fractal analysis and proves beneficial in exploring real-world phenomena.

Keywords: Convex Function; Ostrowski-Type Inequality; Generalized Hölder Inequality; Generalized Power-Mean Inequality; Fractal Sets (search for similar items in EconPapers)
Date: 2021
References: Add references at CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0218348X21400260
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:29:y:2021:i:05:n:s0218348x21400260

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0218348X21400260

Access Statistics for this article

FRACTALS (fractals) is currently edited by Tara Taylor

More articles in FRACTALS (fractals) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().