Hadamard-type and Bullen-type inequalities for Lipschitzian functions via fractional integrals

2013/08/25 by İmdat Işcan, Imdat Iscan, Iscan, Imdat
Mathematics · #26A33 #26A51 #26D10 #26D15 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Inequalities and Applications #Mathematics and Applications #math.CA #msc:26A33 #msc:26A51 #msc:26D10 #msc:26D15

paper · pdf · doi:10.48550/arxiv.1308.5441

12 pages

arxiv created 2013/08/25 · openalex publication_date 2013/08/25 · arxiv updated 2013/08/27 · openalex created_date 2022/09/24 · openalex updated_date 2026/07/28

Abstract

In this paper, the author establishes some Hadamard-type and Bullen-type inequalities for Lipschitzian functions via Riemann Liouville fractional integral. These results have some relationships with [K.-L. Tseng, S.-R. Hwang and K.-C. Hsu, Hadamard-type and Bullen-type inequalities for Lipschitzian functions and their applications, Computers and Mathematics with Applications (2012). doi:10.1016/j.camwa.2011.12.076].

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