Results 1 to 10 of about 455 (96)
Sum of squared logarithms - An inequality relating positive definite matrices and their matrix logarithm [PDF]
, 2013 Let y1, y2, y3, a1, a2, a3 > 0 be such that y1 y2 y3 = a1 a2 a3 and y1 + y2 + y3 >= a1 + a2 + a3, y1 y2 + y2 y3 + y1 y3 >= a1 a2 + a2 a3 + a1 a3. Then the following inequality holds (log y1)^2 + (log y2)^2 + (log y3)^2 >= (log a1)^2 + (log a2)^2 + (log
Birsan, Mircea +2 more
core +4 more sources
A New Approach of Milne-type Inequalities Based on Proportional Caputo-Hybrid Operator
Journal of Advances in Applied & Computational Mathematics, 2023 In this study, we first offer a novel integral identity using twice-differentiable convex mappings for the proportional Caputo-hybrid operator.
İzzettin Demir
semanticscholar +1 more source
Journal of Mathematical Inequalities, 2021 Convex functions have played a major role in the field of Mathematical inequalities. In this paper, we introduce a new concept related to convexity, which proves better estimates when the function is somehow more convex than another.
M. Sababheh, S. Furuichi, H. Moradi
semanticscholar +1 more source
Mathematical Inequalities & Applications, 2021 In the paper, by virtue of convolution theorem for the Laplace transforms, Bernstein’s theorem for completely monotonic functions, and other techniques, the author finds necessary and sufficient conditions for a difference constituted by four derivatives
Feng Qi (祁锋)
semanticscholar +1 more source
Refinements of Some Classical Inequalities Involving Sinc and Hyperbolic Sinc Functions
Annales Mathematicae Silesianae, 2023 Several bounds of trigonometric-exponential and hyperbolic-exponential type for sinc and hyperbolic sinc functions are presented. In an attempt to generalize the results, some known inequalities are sharpened and extended.
Bagul Yogesh J. +3 more
doaj +1 more source
A HARMONIC MEAN INEQUALITY FOR THE EXPONENTIAL INTEGRAL FUNCTION
International Journal of Apllied Mathematics, 2021 By using purely analytical techniques, we establish a harmonic mean inequality for the classical exponential integral function.
K. Nantomah
semanticscholar +1 more source
Further generalized refinement of Young’s inequalities for τ -mesurable operators
Moroccan Journal of Pure and Applied Analysis, 2021 In this paper, we prove that if a, b > 0 and 0 ≤ v ≤ 1.
Ighachane Mohamed Amine +1 more
doaj +1 more source
Open Mathematics, 2021 In this study, we first obtain a new identity for generalized fractional integrals which contains some parameters. Then by this equality, we establish some new parameterized inequalities for co-ordinated convex functions involving generalized fractional ...
Kalsoom Humaira +3 more
doaj +1 more source
On the generalized Becker-Stark type inequalities
Acta Universitatis Sapientiae: Mathematica, 2021 In this paper, we establish several generalized Becker-Stark type inequalities for the tangent function. We present unified proofs of many inequalities in the existing literature. Graphical illustrations of some obtained results are also presented.
Bagul Yogesh J. +3 more
doaj +1 more source
On Hermite-Hadamard type inequalities for multiplicative fractional integrals
Miskolc Mathematical Notes, 2020 In this study, we first establish two Hermite-Hadamard type inequality for multiplicative (geometric) Riemann-Liouville fractional integrals. Then, by using some properties of multiplicative convex function, we give some new inequalities involving ...
H. Budak, K. Özçelik
semanticscholar +1 more source