A New Lower Bound in the Second Kershaw's Double Inequality [PDF]
In the paper, a new and elegant lower bound in the second Kershaw’s double inequality is established, some alternative simple and polished proofs are given, several deduced functions involving the gamma and psi functions are proved to be decreasingly ...
Qi, Feng
core +7 more sources
The Unified Treatment of Trapezoid, Simpson and Ostrowski Type Inequality for Monotonic Mappings and Applications [PDF]
We give new trapezoid inequality as well as Simpson and Ostrowski type inequalities for monotonic functions.
Pecaric, Josep +2 more
core +6 more sources
A Completely Monotonic Function Involving Divided Difference of Psi Function and an Equivalent Inequality Involving Sum [PDF]
In this paper, a function involving the divided difference of the psi function is proved to be completely monotonic, a class of inequalities involving sum are founded, and an equivalent relation between the complete monotonicity and one of the class ...
Qi, Feng
core +6 more sources
A Class of Logarithmically Completely Monotonic Functions and the Best Bounds in the First Kershaw's Double Inequality [PDF]
In the article, the logarithmically complete monotonicity of a class of functions involving the Euler’s gamma function are proved, a class of the first Kershaw type double inequalities are established, and the first Kershaw’s double inequality and ...
Qi, Feng
core +7 more sources
Improvement of an Ostrowski Type Inequality for Monotonic Mappings and its Application for Some Special Means [PDF]
We first improve two Ostrowski type inequalities for monotonic functions, then provide its application for special ...
Fang, Ming Liang, Dragomir, Sever S
core +6 more sources
Some Brunn-Minkowski type inequalities for L p $L_{p}$ radial Blaschke-Minkowski homomorphisms
Schuster introduced radial Blaschke-Minkowski homomorphisms. Recently, they were generalized to L p $L_{p}$ radial Blaschke-Minkowski homomorphisms by Wang et al.
Ying Zhou, Weidong Wang
doaj +1 more source
In this paper, we introduce two new inertial extragradient algorithms with non-monotonic stepsizes for solving monotone and Lipschitz continuous variational inequality problems in real Hilbert spaces.
Bing Tan, Xiaolong Qin
doaj +1 more source
On the solution of monotone nested variational inequalities
AbstractWe study nested variational inequalities, which are variational inequalities whose feasible set is the solution set of another variational inequality. We present a projected averaging Tikhonov algorithm requiring the weakest conditions in the literature to guarantee the convergence to solutions of the nested variational inequality. Specifically,
Lorenzo Lampariello +2 more
openaire +5 more sources
Three Classes of Logarithmically Completely Monotonic Functions Involving Gamma and Psi Functions [PDF]
By a simple approach, two classes of functions involving Euler’s gamma function and originating from certain problems of traffic flow are proved to be logarithmically completely monotonic and a class of functions involving the psi function is showed ...
Qi, Feng
core +6 more sources
On the generalized monotonicity of variational inequalities
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Min-Ru Bai, Shu-Zi Zhou, Gu-Yan Ni
openaire +3 more sources

