Results 201 to 210 of about 527,598 (215)

STRENGTHENED VERSION OF FRACTIONAL HERMITE–HADAMARD–MERCER INEQUALITIES FOR HARMONICALLY CONVEX FUNCTIONS BASED ON JENSEN–MERCER INEQUALITY

Fractals
This study is chiefly concerned with the application of the harmonically convexity condition to establish a series of novel fractional Hermite–Hadamard–Mercer inequalities via the Jensen–Mercer inequality. In both classical and fractional calculus, the existing Hermite–Hadamard–Mercer inequalities have provided certain bounds. However, these bounds are
FANGFANG SHI, MUHAMMAD AMIR ALI, WEI LIU, DONGDONG GAO   +3 more
openaire   +1 more source

On q-Hermite–Hadamard–Mercer and midpoint-Mercer inequalities for general convex functions with their computational analysis

International Journal of Geometric Methods in Modern Physics
This paper establishes some new inequalities of Hermite–Hadamard–Mercer type for [Formula: see text]-convex functions in the framework of [Formula: see text]-calculus and classical calculus. Some new [Formula: see text]-midpoint-Mercer type inequalities for the [Formula: see text]-differentiable [Formula: see text]-convex functions are also proved ...
Muhammad Toseef, Zhiyue Zhang, Muhammad Aamir Ali   +2 more
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

Operator Versions of the Jensen-Mercer Inequality

2014
We present several operator versions of the Jensen-Mercer inequality [5]. We extend it to self-adjoint operators on a Hilbert space [2], then to self-adjoint operators and positive linear mappings [3], [4], and finally to continuous fields of operators and unital fields of positive linear mappings [1].
Pečarić, Josip, Matković, Anita
openaire   +1 more source

Jensen-Mercer inequality for uniformly convex functions with some applications

Afrika Matematika, 2023
Yamin Sayyari
exaly  

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  

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  

New “Conticrete” Hermite–Hadamard–Jensen–Mercer Fractional Inequalities

Symmetry, 2022
Muhammad Adil Khan, Shāh Faisal, Tareq Saeed   +2 more
exaly  

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

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

Symmetry, 2022
P O Mohammed, Bibhakar Kodamasingh, Kamsing Nonlaopon   +2 more
exaly