A New Lower Bound in the Second Kershaw's Double Inequality [PDF]
, 2007 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
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The Unified Treatment of Trapezoid, Simpson and Ostrowski Type Inequality for Monotonic Mappings and Applications [PDF]
, 1998 We give new trapezoid inequality as well as Simpson and Ostrowski type inequalities for monotonic functions.
Pecaric, Josep +2 more
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Flow Monotonicity and Strichartz Inequalities [PDF]
International Mathematics Research Notices, 2014 We identify complete monotonicity properties underlying a variety of well-known sharp Strichartz inequalities in euclidean space.
J. Bennett, N. Bez, M. Iliopoulou
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A Completely Monotonic Function Involving Divided Difference of Psi Function and an Equivalent Inequality Involving Sum [PDF]
, 2006 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
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A Completely Monotonic Function Involving Divided Differences of Psi and Polygamma Functions and an Application [PDF]
, 2006 A function involving the divided differences of the psi function and the polygamma functions is proved to be completely monotonic. As an application of this result, the monotonicity and convexity of a function originated from establishing the best ...
Qi, Feng
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On the solution of monotone nested variational inequalities
Mathematical Methods of Operations Research, 2022 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
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On the generalized monotonicity of variational inequalities
Computers & Mathematics with Applications, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Min-Ru Bai, Shu-Zi Zhou, Gu-Yan Ni
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Integral Inequalities for Monotone Functions
Journal of Mathematical Analysis and Applications, 1997 Some integral inequalities for generalized monotone functions of one variable and an integral inequality for monotone functions of several variables are proved. Some applications are presented and discussed.
Pečarić, Josip +2 more
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Dynamic ILC for Linear Repetitive Processes Based on Different Relative Degrees
Mathematics, 2022 The current research on iterative learning control focuses on the condition where the system relative degree is equal to 1, while the condition where the system relative degree is equal to 0 or greater than 1 is not considered.
Lei Wang +3 more
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Improvement of an Ostrowski Type Inequality for Monotonic Mappings and its Application for Some Special Means [PDF]
, 2000 We first improve two Ostrowski type inequalities for monotonic functions, then provide its application for special ...
Fang, Ming Liang, Dragomir, Sever S
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