Browsing by Author "Hasan Kara"

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    On some new fractional ostrowski-and trapezoid-type inequalities for functions of bounded variations with two variables
    (MDPI, 2021) Thanin Sitthiwirattham; HŸseyin Budak; Hasan Kara; Muhammad Aamir Ali; Jiraporn Reunsumrit; T. Sitthiwirattham; Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, 10300, Thailand; email: thanin_sit@dusit.ac.th; M.A. Ali; Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210023, China; email: mahr.muhammad.aamir@gmail.com
    In this paper, we first prove three identities for functions of bounded variations. Then, by using these equalities, we obtain several trapezoid-and Ostrowski-type inequalities via generalized fractional integrals for functions of bounded variations with two variables. Moreover, we present some results for RiemannÐLiouville fractional integrals by special choice of the main results. Finally, we investigate the connections between our results and those in earlier works. Analytic inequalities of this nature and especially the techniques involved have applications in various areas in which symmetry plays a prominent role. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.