Results 21 to 30 of about 1,825 (154)
Certain new bounds considering the weighted Simpson-like type inequality and applications
Journal of Inequalities and Applications, 2018 We investigate a weighted Simpson-type identity and obtain new estimation-type results related to the weighted Simpson-like type inequality for the first-order differentiable mappings.
Chun-Yan Luo +3 more
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Fractional Simpson-type inequalities for twice differentiable functions
Sahand Communications in Mathematical Analysis, 2023 Summary: In the literature, several papers are devoted to inequalities of Simpson-type in the case of differentiable convex functions and fractional versions. Moreover, some papers are focused on inequalities of Simpson-type for twice differentiable convex functions.
Budak, Hueseyin +2 more
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On new Simpson’s type ınequalities for trigonometrically convex functions with applications
Cumhuriyet Science Journal, 2020 The aim of this article is to define a special case of h- convex function, namely the notion of a trigonometrically convex function. Using the Hölder, Hölder-İşcan integral inequality and the power-mean, improved power-mean integral inequalities, and ...
Mahir Kadakal +3 more
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Multiplicatively Simpson Type Inequalities via Fractional Integral
Symmetry, 2023 Multiplicative calculus, also called non-Newtonian calculus, represents an alternative approach to the usual calculus of Newton (1643–1727) and Leibniz (1646–1716). This type of calculus was first introduced by Grossman and Katz and it provides a defined calculation, from the start, for positive real numbers only.
Abdelkader Moumen +6 more
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Fractal and Fractional, 2022 Inequality theory has attracted considerable attention from scientists because it can be used in many fields. In particular, Hermite–Hadamard and Simpson inequalities based on convex functions have become a cornerstone in pure and applied mathematics. We
Sabah Iftikhar +4 more
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The Making of Caribbean Not-so-Natural Disasters
Alternautas, 2022 Hurricanes are not a novelty in the Caribbean. However, 2017 left several shocking facts for history books regarding intensity and frequency. Two Category 4 and two Category 5 hurricanes – the strongest category on the Saffir-Simpson scale – hit the ...
Gibrán Cruz- Martínez +3 more
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Fractional Multiplicative Corrected Dual-Simpson type inequalities
Journal of Fractional Calculus and Nonlinear Systems, 2023 This paper delves into the realm of inequalities, focusing on the corrected dual Simpson-type inequalities for fractional multiplicative integrals. Based on a new identity, we establishe some new inequalities via multiplicative s-convexity. Finaly, we provide some applications of the obtained results to special means in the frame of multiplicative ...
Badreddine Meftah +2 more
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Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2020 Trigonometric P-function is defined as a special case of h-convex function. In this article, we used a general lemma that gives trapezoidal, midpoint, Ostrowski, and Simpson type inequalities.
Sercan Turhan
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ON GENERALIZATIONS OF INTEGRAL INEQUALITIES
Проблемы анализа, 2022 In the present study, several new generalized integral inequalities of the Hadamard and Simpson-type are obtained. The results were obtained for functions whose first and third derivatives are either convex or satisfy the Lipschitz condition or the ...
J. E. Nάpoles +2 more
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On corrected Bullen-Simpson's $3/8$ inequality
Tamkang Journal of Mathematics, 2006 The aim of this paper is to derive corrected Bullen-Simpson's 3/8 inequality, starting from corrected Simpson's 3/8 and corrected Maclaurin's formula. By corrected we mean formulae that approximate the integral not only with the values of the function in certain points but also with the value of the first derivative in end points of the interval. These
Pečarić, Josip, Franjić, Iva
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