Results 11 to 20 of about 527,598 (215)
Some generalizations of Mercer inequality and its operator extensions
Miskolc Mathematical NotesWe give a more general form of the Mercer inequality by replacing some constants by positive operators. As some consequences, our results produce a Jensen operator inequality for superquadratic functions.
Mohsen Kian, Zainab Peymani
doaj +3 more sources
New Improvements of the Jensen–Mercer Inequality for Strongly Convex Functions with Applications
AxiomsIn this paper, we use the generalized version of convex functions, known as strongly convex functions, to derive improvements to the Jensen–Mercer inequality. We achieve these improvements through the newly discovered characterizations of strongly convex
Muhammad Adil Khan +2 more
exaly +3 more sources
Some New Improvements for Fractional Hermite–Hadamard Inequalities by Jensen–Mercer Inequalities
Journal of Function SpacesThis article’s objective is to introduce a new double inequality based on the Jensen–Mercer JM inequality, known as the Hermite–Hadamard–Mercer inequality. We use the JM inequality to build a number of generalized trapezoid-type inequalities.
Maryam Gharamah Ali Alshehri +3 more
doaj +4 more sources
New fractional estimates for Hermite-Hadamard-Mercer’s type inequalities
Alexandria Engineering Journal, 2020 An analogous version of Hermite-Hadamard-Mercer’s inequality has been established using the Katugampola fractional integral operators. The result is the generalization of the Riemann-Liouville fractional integral operator combined with the left and right
Hong-Hu Chu +3 more
doaj +3 more sources
A variant of Jensen’s inequality of Mercer’s type for operators with applications
Linear Algebra and Its Applications, 2006 A variant of Jensen's operator inequality for convex functions, which is a generalization of Mercer's result, is proved. Obtained result is used to prove a monotonicity property for Mercer's power means for operators, and a comparison theorem for quasi-arithmetic means for operators.
Anita Matkovic +2 more
exaly +4 more sources
MathematicsThe goal of this study is to develop numerous Hermite–Hadamard–Mercer (H–H–M)-type inequalities involving various fractional integral operators, including classical, Riemann–Liouville (R.L), k-Riemann–Liouville (k-R.L), and their generalized fractional ...
Eugenia Grecu +1 more
exaly +3 more sources
On quantum Hermite-Jensen-Mercer inequalities
Miskolc Mathematical Notes, 2023 A. M. Mercer prove a new version of well-known Jensen inequality which is called Jensen-Mercer inequality [16]. By using Jensen-Mercer inequality, Kian and Moslehian establish a new variant of Hermite-Hadamard inequality which is called Hermite-Jensen-Mercer inequality [15].
Budak, Hüseyin, Kara, Hasan
openaire +2 more sources
Mathematics, 2023 Many researchers have been attracted to the study of convex analysis theory due to both facts, theoretical significance, and the applications in optimization, economics, and other fields, which has led to numerous improvements and extensions of the ...
Asfand Fahad +3 more
doaj +1 more source
Access to Essential Services: A Critical Factor for Predicting Recovery and Quantifying Resilience. [PDF]
Risk AnalABSTRACT Essential services are necessary for individuals to recover from and adapt to disruptive events, yet the relationship between access to such services and recovery trajectory is poorly understood. Data on household recovery times are typically only available through surveys, which are limited in scale and scope. Further, the availability of all
Swanson T +3 more
europepmc +2 more sources
FRACTAL HADAMARD–MERCER-TYPE INEQUALITIES WITH APPLICATIONS
Fractals, 2022 Fractal analysis is a totally new area of research based on local fractional calculus. It has interesting applications in various fields such as a complex graph, computer graphics, the music industry, picture compression and many more fields. In this paper, we present new variants of Hadamard–Mercer-type inequalities on fractal sets [Formula: see text]
Butt, Saad Ihsan +4 more
openaire +2 more sources