Results 11 to 20 of about 72 (61)
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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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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Generalization of Jensen's and Jensen-Steffensen's inequalities by generalized majorization theorem [PDF]
Journal of mathematical inequalities, 2017 In this paper, we use generalized majorization theorem and give the generalizations of Jensen’s and Jensen-Steffensen’s inequalities. We present the generalization of converse of Jensen’s inequality. We give bounds for the identities related to the generalization of Jensen’s inequality by using ˇ Cebyˇsev functionals.
Khan, M. A., Khan, J., Pečarić, J.
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Generalizations of the Jensen-Steffensen and related inequalities
Open Mathematics, 2009 Abstract We present a couple of general inequalities related to the Jensen-Steffensen inequality in its discrete and integral form. The Jensen-Steffensen inequality, Slater’s inequality and a generalization of the counterpart to the Jensen-Steffensen inequality are deduced as special cases from these general inequalities.
Pečarić, Josip +2 more
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Hölder Type Inequalities for Sugeno Integrals under Usual Multiplication Operations
Advances in Fuzzy Systems, Volume 2019, Issue 1, 2019., 2019 The classical Hölder inequality shows an interesting upper bound for Lebesgue integral of the product of two functions. This paper proposes Hölder type inequalities and reverse Hölder type inequalities for Sugeno integrals under usual multiplication operations for nonincreasing concave or convex functions.
Dug Hun Hong +2 more
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Integral Inequalities Involving Strongly Convex Functions
Journal of Function Spaces, Volume 2018, Issue 1, 2018., 2018 We study the notions of strongly convex function as well as F‐strongly convex function. We present here some new integral inequalities of Jensen’s type for these classes of functions. A refinement of companion inequality to Jensen’s inequality established by Matić and Pečarić is shown to be recaptured as a particular instance.
Ying-Qing Song +4 more
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