Results 21 to 30 of about 4,869 (94)

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

The Hermite–Hadamard–Mercer Type Inequalities via Generalized Proportional Fractional Integral Concerning Another Function

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, Deepak B. Pachpatte, Ram N. Mohapatra   +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, Muhammad Adil Khan, Hamid Reza Moradi, Muhammad Arif   +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, Saad Ihsan Butt, Đilda Pečarić, Josip Pečarić, Ahmet Ocak Akdemir, Xiaolong Qin   +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, Fazilat Bibi, Ammara Nosheen, Josip Pečarić, Andrea Scapellato   +4 more
wiley   +1 more source

Generalized Jensen-Steffensen and related inequalities [PDF]

Journal of Mathematical Inequalities, 2015
We introduce a new tool for comparing two linear functionals that are positive on convex functions. We generalize Jensen-Steffensen and related inequalities.
Jakšetić, Julije, Pečarić, Josip, Praljak, Marjan   +2 more
openaire   +2 more sources

GENERALIZATION AND REFINEMENTS OF JENSEN INEQUALITY

Journal of Mathematical Analysis, 2021
We give generalizations and refinements of Jensen and Jensen− Mercer inequalities by using weights which satisfy the conditions of Jensen and Jensen− Steffensen inequalities.
Faiza Rubab, Hira Nabi, Asif R. Khan
semanticscholar   +1 more source

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, Mattias Nordqvist, Karin Hellerstedt   +2 more
wiley   +1 more source

Generalized Niezgoda's Inequality with Refinements and Applications [PDF]

Sahand Communications in Mathematical Analysis
Motivated by the results of Niezgoda, corresponding to the generalization of Mercer's inequality for positive weights, in this paper, we consider real weights, for which we establish related results.
Faiza Rubab, Asif Khan, Anum Naqvi, Ani Haider   +3 more
doaj   +1 more source