Results 11 to 20 of about 561 (100)
Integral Inequalities Involving Strongly Convex Functions
Journal of Function Spaces, 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.
Ying-Qing Song +3 more
doaj +2 more sources
Exact Solutions of Three Types of Conformable Fractional-Order Partial Differential Equations.
Comput Intell Neurosci, 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.
Ma L.
europepmc +2 more sources
Improvements of Jensen-Type Inequalities for Diamond-α Integrals. [PDF]
Int Sch Res Notices, 2014 We give further improvements of the Jensen inequality and its converse on time scales, allowing also negative weights. These results generalize the Jensen inequality and its converse for both discrete and continuous cases. Further, we investigate the exponential and logarithmic convexity of the differences between the left‐hand side and the right‐hand ...
Bibi R, Pečarić J, Lipanović MR.
europepmc +2 more sources
Chebyshev-Steffensen Inequality Involving the Inner Product
Mathematics, 2022 In this paper, we prove the Chebyshev-Steffensen inequality involving the inner product on the real m-space. Some upper bounds for the weighted Chebyshev-Steffensen functional, as well as the Jensen-Steffensen functional involving the inner product under
Milica Klaričić Bakula +1 more
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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
wiley +1 more source
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
wiley +1 more source
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
wiley +1 more source
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
wiley +1 more source
Jensen-Steffensen's and related inequalities for superquadratic functions [PDF]
Mathematical inequalities & applications, 2008 Refinements of Jensen-Steffensen's inequality, Slater-Pečarić's inequality and majorization theorems for superquadratic functions are presented.
Pečarić, Josip +2 more
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Improvement of Jensen--Steffensen's inequality for superquadratic functions
Banach Journal of Mathematical Analysis, 2010 In this paper, improvements for superquadratic functions of Jensen-Steffensen's and related inequalities are discussed. For superquadratic functions which are not convex we get inequalities analog to Jensen-Steffensen's inequality for convex functions. For superquadratic functions which are convex (including many useful functions), we get improvements ...
Abramovich, Shoshana +2 more
openaire +5 more sources