Yazar "Sadiq, Asad" seçeneğine göre listele

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    Generalization of the bisection method and its applications in nonlinear equations
    (Springer, 2023) Gulshan, Ghazala; Budak, Huseyin; Hussain, Rashida; Sadiq, Asad
    The aim of the current work is to generalize the well-known bisection method using quantum calculus approach. The results for different values of quantum parameter q are analyzed, and the rate of convergence for each q ? (0,1) is also determined. Some physical problems in engineering are resolved using the QBM technique for various values of the quantum parameter q up to three iterations to examine the validity of the method. Furthermore, it is proven that QBM is always convergent and that for each interval there exists q ? (0,1) for which the first approximation of root coincides with the precise solution of the problem.
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    On generalizations of post quantum midpoint and trapezoid type inequalities for (a, m)-convex functions
    (Univ Nis, Fac Sci Math, 2023) Gulshan, Ghazala; Budak, Hüseyin; Hussain, Rashida; Sadiq, Asad
    The aim of current study is to establish two crucial (p, q)b-integral identities for midpoint and trapezoid type inequalities. Utilizing these identities, we developed some new variant of midpoint and trapezoid type integral inequalities of differential (alpha, m)-convex functions using right post quantum integral approach. Moreover, we have presented the application of derived results related to special means of positive real numbers.
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    On some generalized Simpson type inequalities for (a,m)-coordinated convex functions in context of q1q2-calculus
    (Walter De Gruyter Gmbh, 2023) Gulshan, Ghazala; Ali, Muhammad Aamir; Hussain, Rashida; Sadiq, Asad; Budak, Huseyin
    In the current investigation, we offer the generalized version of q(1)q(2)-Simpson's type inequalities via (a , m)-coordinated convex functions. To validate their generalized behavior, we demonstrate the link between our outcomes and the already derived ones. Moreover, we provide some application to special means of pos-itive real numbers to support our findings. The principal outcomes raised in this investigation are extensions and generalizations of the comparable results in the history on Simpson's inequalities for coordinated convex functions.