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    Ostrowski and generalized trapezoid type inequalities on time scales
    (Elsevier, 2020) Tuna, Adnan; Nwaeze, Eze R.
    In this paper, some new Ostrowski and generalized Trapezoid type inequalities on time scales are established. The Ostrowski type inequality is presented via a parameter function g : [0, 1] -> [0, 1]. Our results generalize and extend the results of Dragomir, and Ujevic. Furthermore, we apply our results to the discrete and continuous time scales to obtain some other interesting inequalities as special cases. (C) 2018 Production and hosting by Elsevier B.V. on behalf of King Saud University.
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    TRAPEZOID-TYPE INEQUALITIES ON TIME SCALES
    (Univ Prishtines, 2019) Bohner, Martin; Nwaeze, Eze R.; Tuna, Adnan
    Some trapezoid inequalities were proved in 2004 by B. G. Pachpatte. It is our purpose in this paper to extend these results to time scales. Besides that, two more results are also established. Furthermore, we also apply our results to continuous and discrete calculus to derive some new inequalities as special cases.