Results 21 to 30 of about 303 (160)
In this article, we develop a novel framework to study for a new class of preinvex functions depending on arbitrary nonnegative function, which is called n-polynomial preinvex functions.
Humaira Kalsoom +3 more
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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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Two-Point Fuzzy Ostrowski Type Inequalities
Two-point fuzzy Ostrowski type inequalities are proved for fuzzy Hölder and fuzzy differentiable functions. The two-point fuzzy Ostrowski type inequality for M-lipshitzian mappings is also obtained.
Muhammad Amer Latif, Sabir Hussain
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On Ostrowski type inequalities and Cebysev type inequalities with applications
In this paper, we obtain some new Ostrowski type inequalities and Cebysev type inequalities for functions whose second derivatives absolute value are convex and second derivatives belongs to Lp spaces. Applications to a composite quadrature rule, to probability density functions, and to special means are also given.
Kiris, Mehmet Eyup +1 more
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On Ostrowski-Type Inequalities for Higher-Order Partial Derivatives
We establish some new Ostrowski-type integral inequalities involving higher-order partial derivatives. As applications, we get some interrelated results. Our results provide new estimates on inequalities of this type.
Zhao Changjian, Wing-Sum Cheung
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Ostrowski-Type Fractional Integral Inequalities: A Survey
This paper presents an extensive review of some recent results on fractional Ostrowski-type inequalities associated with a variety of convexities and different kinds of fractional integrals.
Muhammad Tariq +2 more
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Perturbations of an Ostrowski type inequality and applications [PDF]
Two perturbations of an Ostrowski type inequality are established. New error bounds for the mid‐point, trapezoid, and Simpson quadrature rules are derived. These error bounds can be much better than some recently obtained bounds. Applications in numerical integration are also given.
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The objective of this article is to incorporate the concept of the Ostrowski inequality with the Atangana–Baleanu fractional integral operator. A novel integral identity for twice-differentiable functions is established after a rigorous investigation of ...
Soubhagya Kumar Sahoo +4 more
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A modified class of Ostrowski-type inequalities and error bounds of Hermite–Hadamard inequalities
This paper aims to extend the application of the Ostrowski inequality, a crucial tool for figuring out the error bounds of various numerical quadrature rules, including Simpson’s, trapezoidal, and midpoint rules.
Miguel Vivas-Cortez +4 more
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A NOTE ON OSTROWSKI TYPE INEQUALITIES
Summary: In the present note we establish two new integral inequalities of the Ostrowski type involving a function of one independent variable. The discrete analogues of the main results are also given.
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