Yazar "Dragomir, Silvestru Sever" seçeneğine göre listele

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    Exploring error estimates of Newton-Cotes quadrature rules across diverse function classes
    (Springer, 2025) Lakhdari, Abdelghani; Awan, Muhammad Uzair; Dragomir, Silvestru Sever; Budak, Huseyin; Meftah, Badreddine
    This in-depth study looks at symmetric four-point Newton-Cotes-type inequalities with a focus on error estimates for numerical integration. The precision of these estimates is explored across various classes of functions, including those with bounded variation, bounded derivatives, Lipschitzian derivatives, convex derivatives, and others. The research synthesizes and extends existing knowledge, providing a nuanced understanding of how error bounds depend on the characteristics of integrated functions. Through a systematic review of seminal works, the study contributes to the practical application of numerical integration techniques, offering insight for researchers and practitioners to make informed choices based on the specific features of the functions involved.
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    GENERALIZED POWER POMPEIU TYPE INEQUALITIES FOR LOCAL FRACTIONAL INTEGRALS WITH APPLICATIONS TO OSTROWSKI'S INEQUALITY
    (Turkic World Mathematical Soc, 2019) Erden, Samet; Sarıkaya, Mehmet Zeki; Dragomir, Silvestru Sever
    We establish some generalizations of power Pompeiu's inequality for local fractional integral. Afterwards, these results gave some new generalized Ostrowski type inequalities. Finally, some applications of these inequalities for generalized special means are obtained.
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    New some Hadamard's type inequalities for co-ordinated convex functions
    (2012) Sarıkaya, Mehmet Zeki; Set, Erhan; Özdemir, Mehmet Emin; Dragomir, Silvestru Sever
    In this paper, we establish new some Hermite-Hadamard's type in-equalities of convex functions of 2-variables on the co-ordinates.
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    Some Classical Inequalities Associated with Generic Identity and Applications
    (Mdpi, 2024) Javed, Muhammad Zakria; Awan, Muhammad Uzair; Bin-Mohsin, Bandar; Budak, Huseyin; Dragomir, Silvestru Sever
    In this paper, we derive a new generic equality for the first-order differentiable functions. Through the utilization of the general identity and convex functions, we produce a family of upper bounds for numerous integral inequalities like Ostrowski's inequality, trapezoidal inequality, midpoint inequality, Simpson's inequality, Newton-type inequalities, and several two-point open trapezoidal inequalities. Also, we provide the numerical and visual explanation of our principal findings. Later, we provide some novel applications to the theory of means, special functions, error bounds of composite quadrature schemes, and parametric iterative schemes to find the roots of linear functions. Also, we attain several already known and new bounds for different values of gamma and parameter xi.
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    Some perturbed ostrowski type inequalities for twice differentiable functions
    (Springer International Publishing, 2018) Budak, Hüseyin; Sarıkaya, Mehmet Zeki; Dragomir, Silvestru Sever
    In this study, we first obtain an identity for twice differentiable functions. Then we establish some perturbed Ostrowski type integral inequalities for functions whose second derivatives are bounded. Moreover, some perturbed versions of Ostrowski type inequalities for mapping whose second derivatives are either of bounded variation or Lipschitzian. © 2018, Springer Nature Singapore Pte Ltd.