Results 171 to 180 of about 978 (185)

A STUDY OF FRACTIONAL HERMITE–HADAMARD–MERCER INEQUALITIES FOR DIFFERENTIABLE FUNCTIONS

Fractals
In this work, we prove a parameterized fractional integral identity involving differentiable functions. Then, we use the newly established identity to establish some new parameterized fractional Hermite–Hadamard–Mercer-type inequalities for differentiable function.
THANIN SITTHIWIRATTHAM, MIGUEL VIVAS-CORTEZ, MUHAMMAD AAMIR ALI, HÜSEYIN BUDAK, İBRAHIM AVCI   +4 more
openaire   +3 more sources

Jensen-Mercer Inequality for Functions with Nondecreasing Increments

World academy of science, engineering and technology, 2020
We present Jensen-Mercer inequality for the class of functions with nondecreasing increments and its refinements obtained by use of index set function. Then, we show how these results can be used to obtain refinements of the analogous variants of Čebyšev's inequality and Hölder's inequality for monotonic sequences.
Matković, Anita, Pečarić, Josip
openaire   +1 more source

Jensen's, chord's and Mercer's inequality

2012
This work examines the different variants of Jensen's, chord's and Mercer's inequality for convex function on the interval of real numbers.
openaire   +2 more sources

Jensen-Mercer inequality for uniformly convex functions with some applications

Afrika Matematika, 2023
Yamin Sayyari, Sayyari Yamin
exaly  

Jensen-Mercer inequality and its applications

2007
Our starting point is the following variant of Jensen's inequality f(a+b-(1/(W_{; ; n}; ; ))∑ _{; ; i=1}; ; ⁿ w_{; ; i}; ; x_{; ; i}; ; )≤ f(a)+f(b)-(1/(W_{; ; n}; ; ))∑ _{; ; i=1}; ; ⁿ w_{; ; i}; ; f(x_{; ; i}; ; ), for convex function f:[a, b]→ ℝ , real numbers x₁ , … , x_{; ; n}; ; ∈ [a, b]
Matković, Anita, Pečarić, Josip
openaire  

A Variant of Jessen's Inequality of Mercer's Type for Superquadratic Functions

2008
A variant of Jessen's inequality for superquadratic functions is proved. This is a refinement of a variant of Jessen's inequality of Mercer's type for convex functions. The result is used to refine some comparison inequalities of Mercer's type between functional power means and between functional quasi-arithmetic means.
Abramovich, Shoshana, Baric, J., Pečarić, Josip E.   +2 more
openaire   +2 more sources

Bitrapezoid-Mercer type inequalities

Mathematica slovaca
The main objective of our paper is to establish a new set of bitrapezoid type inequalities concerning the Jensen-Mercer's inequality. At first, we derive a new general Bitrapezoid-Mercer's identity, with which we get out primary consequences. Furthermore, considering the Bitrapezoid-Mercer's identity, we use the convexity property together with Hölder ...
openaire   +1 more source

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

Mathematics, 2023
Asfand Fahad, Yuanheng Wang, Saad Ihsan Butt   +2 more
exaly  

Hadamard–Mercer, Dragomir–Agarwal–Mercer, and Pachpatte–Mercer Type Fractional Inclusions for Convex Functions with an Exponential Kernel and Their Applications

Symmetry, 2022
Soubhagya Kumar Sahoo, Ravi P Agarwal, Pshtiwan Othman Mohammed   +2 more
exaly  

Hermite–Hadamard–Mercer-Type Inequalities for Harmonically Convex Mappings

Mathematics, 2021
Muhammad Aamir Ali, Huseyin Budak, Jiraporn Reunsumrit   +2 more
exaly