Browsing by Author "Faheem Muhammad"

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    On generalizations of quantum SimpsonÕs and quantum newtonÕs inequalities with some parameters
    (American Institute of Mathematical Sciences, 2021) Chanon Promsakon; Muhammad Aamir Ali; HŸseyin Budak; Mujahid Abbas; Faheem Muhammad; Thanin Sitthiwirattham; M.A. Ali; Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210023, China; email: mahr.muhammad.aamir@gmail.com; T. Sitthiwirattham; Department of Medical research, China Medical University Hospital, China, Medical University, Taichung, Taiwan; email: sit@dusit.ac.th
    In this paper, we prove two identities concerning quantum derivatives, quantum integrals, and some parameters. Using the newly proved identities, we prove new SimpsonÕs and NewtonÕs type inequalities for quantum differentiable convex functions with two and three parameters, respectively. We also look at the special cases of our key findings and find some new and old SimpsonÕs type inequalities, NewtonÕs type inequalities, midpoint type inequalities, and trapezoidal type inequalities. © 2021 the Author(s), licensee AIMS Press.