Results 161 to 169 of about 813,258 (169)

Some Variants of the Jensen-Mercer Inequality and their Applications

2010
We present some of generalizations of the Jensen-Mercer inequality in various spaces with adequate orders, and for several types real valued functions. As their applications we establish the monotonicity property of the weighted means of Mercer's type.
Matković, Anita, Pečarić, Josip
openaire   +1 more source

Conversions of the Jensen-Steffensen and Jensen-Mercer inequalities

2010
We establish conversions of the Jensen-Steffensen and Jensen-Mercer inequalities. We also use so caled exp-convex method to obtain some new inequalities related to those converse inequalities.
Klaričić Bakula, Milica, Ivelić Bradanović, Slavica, Pečarić, Josip   +2 more
openaire   +1 more source

Generalization of the Jensen-Mercer inequality by Taylor's polynomial

2015
We present generalizations of the Jensen-Mercer inequality for the class of n-convex functions, obtained by using Taylor's polynomial and Green function. By applying those inequalities we obtain some related results and produce new families of exponentially convex functions.
Pečarić, Josip, Matković, Anita
openaire   +1 more source

New Study on the Quantum Midpoint-Type Inequalities for Twice q-Differentiable Functions via the Jensen–Mercer Inequality

Symmetry, 2023
Saad Ihsan Butt, Huseyin Budak, Muhammad Umar   +2 more
exaly  

A Variant of the Jensen-Mercer Operator Inequality for Superquadratic Functions

2009
A variant of the Jensen-Mercer operator inequality for superquadratic functions, which is a refinement of the Jensen-Mercer operator inequality for convex functions, is proved. Obtained result is used to refine some comparison inequalities between operator power and quasi-arithmetic means of Mercer's type.
Matković, Anita, Barić, Josipa
openaire  

Jensen–Mercer and Hermite–Hadamard–Mercer Type Inequalities for GA-h-Convex Functions and Its Subclasses with Applications

Mathematics, 2023
Saad Ihsan Butt, Asfand Fahad, Yuan-Heng Wang   +2 more
exaly  

Hermite–Jensen–Mercer-Type Inequalities via Caputo–Fabrizio Fractional Integral for h-Convex Function

Fractal and Fractional, 2021
Muhammad Shoaib Saleem, MIGUEL Vivas-Cortez, Artion Kashuri   +2 more
exaly  

A variant of the Jensen–Mercer operator inequality for superquadratic functions

Mathematical and Computer Modelling, 2010
Anita Matkovic, Josip Pecaric
exaly  

A Note on Generalized Mercer’s Inequality

Bulletin of the Malaysian Mathematical Sciences Society, 2017
Asif R Khan, Josip Pecaric, Marjan Praljak   +2 more
exaly