Quasi-Concave Functions and Greedy Algorithms

On Jackknifed Greedy Algorithms and Their Applications in NMR

Bulletin of the Russian Academy of Sciences Physics ◽

10.3103/s1062873820110143 ◽

2020 ◽

Vol 84 (11) ◽

pp. 1335-1340

Author(s):

P. Kasprzak ◽

K. Kazimierczuk ◽

A. L. Shchukina

Keyword(s):

Greedy Algorithms

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Global Optimization of Concave Functions Subject to Separable Quadratic Constraints and of All-Quadratic Separable Problems

10.21236/ada197747 ◽

1988 ◽

Cited By ~ 2

Author(s):

Fais A. AL-Khayyal ◽

Reiner Horst ◽

Panos M. Pardalos

Keyword(s):

Global Optimization ◽

Concave Functions ◽

Quadratic Constraints ◽

Separable Problems

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On existence result of a class of nonlinear integral equation

Filomat ◽

10.2298/fil1711593b ◽

2017 ◽

Vol 31 (11) ◽

pp. 3593-3597

Author(s):

Ravindra Bisht

Keyword(s):

Integral Equation ◽

Fixed Point ◽

Existence And Uniqueness ◽

Existence Result ◽

Nonlinear Integral Equation ◽

Continuous Functions ◽

Concave Functions ◽

Real Numbers ◽

Fixed Point Techniques ◽

Uniqueness Of A Solution

Combining the approaches of functionals associated with h-concave functions and fixed point techniques, we study the existence and uniqueness of a solution for a class of nonlinear integral equation: x(t) = g1(t)-g2(t) + ? ?t,0 V1(t,s)h1(s,x(s))ds + ? ?T,0 V2(t,s)h2(s,x(s))ds; where C([0,T];R) denotes the space of all continuous functions on [0,T] equipped with the uniform metric and t?[0,T], ?,? are real numbers, g1, g2 ? C([0, T],R) and V1(t,s), V2(t,s), h1(t,s), h2(t,s) are continuous real-valued functions in [0,T]xR.

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Some generalizations of the Hermite–Hadamard integral inequality

Journal of Inequalities and Applications ◽

10.1186/s13660-021-02605-y ◽

2021 ◽

Vol 2021 (1) ◽

Author(s):

Slavko Simić ◽

Bandar Bin-Mohsin

Keyword(s):

Integral Inequality ◽

Target Function ◽

Convexity Property ◽

Concave Functions ◽

Differentiable Functions

AbstractIn this article we give two possible generalizations of the Hermite–Hadamard integral inequality for the class of twice differentiable functions, where the convexity property of the target function is not assumed in advance. They represent a refinement of this inequality in the case of convex/concave functions with numerous applications.

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