Results 1 to 10 of about 471 (101)
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
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
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
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
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
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
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
Applied Mathematics in Science and Engineering, 2023 Generalizations of some Steffensen's inequalities for the class of higher order convex functions are obtained in present study. To prove the results, some preliminary lemmas are established by using extended Montgomery identities via Taylor's formula on ...
Khuram Ali Khan +4 more
doaj +1 more source