Results 11 to 20 of about 86 (65)
Computational Intelligence and Neuroscience, Volume 2022, Issue 1, 2022., 2022 Fractional calculus is widely used in biology, control systems, and engineering, so it has been highly valued by scientists. Fractional differential equations are considered an important mathematical model that is widely used in science and technology to describe physical phenomena more accurately in terms of time memory and spatial interactions.
Lijun Ma, Arpit Bhardwaj
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International Journal of Mathematics and Mathematical Sciences, Volume 2022, Issue 1, 2022., 2022 In order to be able to study cosmic phenomena more accurately and broadly, it was necessary to expand the concept of calculus. In this study, we aim to introduce a new fractional Hermite–Hadamard–Mercer’s inequality and its fractional integral type inequalities.
Tariq A. Aljaaidi +2 more
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Bounds for the Jensen Gap in terms of Power Means with Applications
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 Jensen’s and its related inequalities have attracted the attention of several mathematicians due to the fact that Jensen’s inequality has numerous applications in almost all disciplines of mathematics and in other fields of science. In this article, we propose new bounds for the difference of two sides of Jensen’s inequality in terms of power means. An
Xuexiao You +3 more
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Uniform Treatment of Jensen’s Inequality by Montgomery Identity
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 We generalize Jensen’s integral inequality for real Stieltjes measure by using Montgomery identity under the effect of n−convex functions; also, we give different versions of Jensen’s discrete inequality along with its converses for real weights. As an application, we give generalized variants of Hermite–Hadamard inequality.
Tahir Rasheed +5 more
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Extended Jensen’s Functional for Diamond Integral via Hermite Polynomial
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 In this paper, with the help of Hermite interpolating polynomial, extension of Jensen’s functional for n‐convex function is deduced from Jensen’s inequality involving diamond integrals. Special Hermite conditions, including Taylor two‐point formula and Lagrange’s interpolation, are also deployed to find further extensions of Jensen’s functional.
Rabia Bibi +4 more
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On the refinements of the integral Jensen-Steffensen inequality [PDF]
Journal of Inequalities and Applications, 2013 Dans cet article, nous présentons des versions intégrales de certains résultats récemment prouvés qui affinent l'inégalité de Jensen-Steffensen. Nous prouvons la convexité n-exponentielle et la log-convexité des fonctions associées aux fonctions linéaires construites à partir des inégalités raffinées et prouvons également la propriété de monotonie des ...
Sadia Khalid, Josip Pečarić
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Computation of Generalized Averaged Gaussian Quadrature Rules [PDF]
, 2022 The estimation of the quadrature error of a Gauss quadrature rule when applied to the approximation of an integral determined by a real-valued integrand and a real-valued nonnegative measure with support on the real axis is an important problem in ...
Spalević, Miodrag
core
The Jensen-Steffensen inequality [PDF]
Mathematical Inequalities & Applications, 1998 New proofs of the Jensen-Steffensen and its inverse inequality given by the reviewer are presented.
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The role of the board chair—A literature review and suggestions for future research
Corporate Governance: An International Review, Volume 28, Issue 6, Page 372-405, November 2020., 2020 Abstract Research Question/Issue The role of the board chair has become increasingly complex in recent decades. Research on corporate governance has called for and has initiated the pursuit of more research for the purpose of creating a better understanding of the role of board chairs.
Anup Banerjee +2 more
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Jensen–Steffensen inequality for strongly convex functions [PDF]
Journal of Inequalities and Applications, 2018 The Jensen inequality for convex functions holds under the assumption that all of the included weights are nonnegative. If we allow some of the weights to be negative, such an inequality is called the Jensen-Steffensen inequality for convex functions. In this paper we prove the Jensen-Steffensen inequality for strongly convex functions.
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