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Iqbal Mohammad Batiha
Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, 346, United Arab Emirates
Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Environmental Science Materials Science & Nanotechnology Physics

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Perturbed Trapezoid Like Inequalities Waseem Ghazi Alshanti; Iqbal Mohammad Batiha; Ahmad Alshanty; Amjed Zraiqat; Iqbal Hamzah Jebril; Ma’mon Ahmad Abu
Science and Technology Indonesia Vol. 8 No. 2 (2023): April
Publisher : Research Center of Inorganic Materials and Coordination Complexes, FMIPA Universitas Sriwijaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26554/sti.2023.8.2.205-211

Abstract

In our current research article, based on a general configuration of a 3-step Peano kernel, new versions of integral inequality of Ostrowski’s type are developed for differentiable mappings that have second derivatives belong to L∞. Then we utilized these versions to generate new perturbed trapezoid like inequalities. These new perturbed trapezoid like inequalities are proposed with error bounds smaller than and similar to those reported by previous studies. Moreover, some of the obtained perturbed trapezoid like inequalities reveal the relationship between the Euler-Maclaurin summation and the trapezoidal rule. Finally, certain implementations to numerical composite quadrature rules are provided for completeness.
Co-Authors Ahmad Alshanty Amjed Zraiqat Iqbal Hamzah Jebril Ma’mon Ahmad Abu Waseem Ghazi Alshanti