THE WEIGHTED PARAMETERIZED INEQUALITIES IN RELATION TO TWICE DIFFERENTIABLE MAPPINGS IN THE FRACTAL DOMAINS ALONG WITH SOME APPLICATIONS

Yunxiu Zhou (), Jiagen Liao () and Tingsong Du
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Yunxiu Zhou: Three Gorges Mathematical Research Center, China Three Gorges University, Yichang 443002, P. R. China
Jiagen Liao: Three Gorges Mathematical Research Center, China Three Gorges University, Yichang 443002, P. R. China
Tingsong Du: Three Gorges Mathematical Research Center, China Three Gorges University, Yichang 443002, P. R. China†Department of Mathematics, College of Science, China Three Gorges University, Yichang 443002, P. R. China

FRACTALS (fractals), 2023, vol. 31, issue 07, 1-27

Abstract: In this paper, two weighted parameterized fractal identities are first proposed, wherein the mappings involved are second-order local fractional differentiable. Based upon these equalities, a series of the weighted parameterized inequalities, which are related to the fractal convex mappings, are then deduced. Moreover, making use of boundedness and (φ,Ï ð œ—Ì‚)-Lipschitzian mappings, some error estimates are attained as well. Finally, certain fractal outcomes in accordance to random variable and the weighted formula, respectively, are presented as applications.

Keywords: Weighted Inequality; Parameterized Inequality; Local Fractional Theory (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0218348X23500925

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