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Ostrowski and Čebyšev type inequalities for interval-valued functions and applications. [PDF]
PLoS ONE, 2023 As an essential part of classical analysis, Ostrowski and Čebyšev type inequalities have recently attracted considerable attention. Due to its universality, the non-additive integral inequality takes several forms, including Sugeno integrals, Choquet ...
Jing Guo +3 more
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Advancements in integral inequalities of Ostrowski type via modified Atangana-Baleanu fractional integral operator [PDF]
HeliyonConvexity and fractional integral operators are closely related due to their fascinating properties in the mathematical sciences. In this article, we first establish an identity for the modified Atangana-Baleanu (MAB) fractional integral operators. Using
Gauhar Rahman +4 more
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Ostrowski’s inequality on time scales
Applied Mathematics Letters, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cheh-Chih Yeh
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An integral analogue of the Ostrowski inequality
Journal of Inequalities and Applications, 1998 We give an integral analogue of the Ostrowski inequality and several extensions, allowing in particular for multiple linear constraints.
Pečarić J +2 more
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Perturbations of an Ostrowski type inequality and applications [PDF]
International Journal of Mathematics and Mathematical Sciences, 2002 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.
Nenad Ujević
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Fractal and Fractional, 2023 The Ostrowski inequality expresses bounds on the deviation of a function from its integral mean. The Ostrowski’s type inequality is frequently used to investigate errors in numerical quadrature rules and computations.
Gauhar Rahman +5 more
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A Note on Ostrowski's Inequality [PDF]
Mathematical Inequalities & Applications, 2001 The authors introduce a generalised version of Ostrowski's inequality in the perspective of an inner product space and further show that it is actually a statement about projections.
Šikić, Hrvoje, Šikić, Tomislav
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Generalization of Montgomery identity via Taylor formula on time scales
Journal of Inequalities and Applications, 2022 In the current paper, a generalized Montgomery identity is obtained with the help of Taylor’s formula on time scales. The obtained identity is used to establish Ostrowski inequality, mid-point inequality, and trapezoid inequality.
Sumaiya Malik +3 more
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Generalization of Ostrowski and Ostrowski–Grüss type inequalities on time scales [PDF]
Computers & Mathematics with Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tuna, Adnan, Daghan, Durmus
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Ostrowski type inequalities involving conformable integrals via preinvex functions
AIP Advances, 2020 In this research article, we use preinvex functions to develop Ostrowski type inequalities for conformable integrals. First, we aim for an identity linked with the Ostrowski inequality.
Yousaf Khurshid +2 more
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