Results 31 to 40 of about 561 (100)

Hölder Type Inequalities for Sugeno Integrals under Usual Multiplication Operations

Advances in Fuzzy Systems, Volume 2019, Issue 1, 2019., 2019
The classical Hölder inequality shows an interesting upper bound for Lebesgue integral of the product of two functions. This paper proposes Hölder type inequalities and reverse Hölder type inequalities for Sugeno integrals under usual multiplication operations for nonincreasing concave or convex functions.
Dug Hun Hong, Jae Duck Kim, Michal Baczynski   +2 more
wiley   +1 more source

Generalized Jensen‐Mercer Inequality for Functions with Nondecreasing Increments

Abstract and Applied Analysis, Volume 2016, Issue 1, 2016., 2016
In the year 2003, McD Mercer established an interesting variation of Jensen’s inequality and later in 2009 Mercer’s result was generalized to higher dimensions by M. Niezgoda. Recently, Asif et al. has stated an integral version of Niezgoda’s result for convex functions.
Asif R. Khan, Sumayyah Saadi, Wing-Sum Cheung   +2 more
wiley   +1 more source

Alternative reverse inequalities for Young's inequality

, 2011
Two reverse inequalities for Young's inequality were shown by M. Tominaga, using Specht ratio. In this short paper, we show alternative reverse inequalities for Young's inequality without using Specht ratio.Comment: The constant in the right hand side ...
Furuichi, Shigeru, Minculete, Nicuşor
core   +1 more source

Generalized Steffensen Type Inequalities Involving Convex Functions

Journal of Function Spaces, Volume 2014, Issue 1, 2014., 2014
In this paper generalized Steffensen type inequalities related to the class of functions that are “convex at point c” are derived and as a consequence inequalities involving the class of convex functions are obtained. Moreover, linear functionals from the difference of the right‐ and left‐hand side of the obtained generalized inequalities are ...
Josip Pečarić, Ksenija Smoljak Kalamir, Hugo Leiva   +2 more
wiley   +1 more source

Integral Jensen–Mercer and Related Inequalities for Signed Measures with Refinements

Mathematics
In this paper, we give necessary and sufficient conditions for the integral Jensen–Mercer inequality and closely related inequalities to be satisfied for finite signed measures.
László Horváth
doaj   +1 more source

On exponential convexity, Jensen-Steffensen-Boas Inequality, and Cauchy's means for superquadratic functions [PDF]

Journal of Mathematical Inequalities, 2011
In this paper we define new means of Cauchy's type using some recently obtained results that refine the Jensen-Steffensen-Boas inequality for convex and superquadratic functions. Applying so called exp-convex method we interpret results in the form of exponentially convex or (as a special case) logarithmically convex functions.
Abramovich, Shoshana, Farid, Ghulam, Ivelić, Slavica, Pečarić, Josip   +3 more
openaire   +3 more sources

Reverses of the Jensen‐Type Inequalities for Signed Measures

Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014
In this paper we derive refinements of the Jensen type inequalities in the case of real Stieltjes measure dλ, not necessarily positive, which are generalizations of Jensen′s inequality and its reverses for positive measures. Furthermore, we investigate the exponential and logarithmic convexity of the difference between the left‐hand and the right‐hand ...
Rozarija Jakšić, Josip Pečarić, Mirna Rodić Lipanović, Shawn X. Wang   +3 more
wiley   +1 more source

On Hölder and Minkowski Type Inequalities

Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014
We obtain inequalities of Hölder and Minkowski type with weights generalizing both the case of weights with alternating signs and the classical case of nonnegative weights.
Petr Chunaev, Ljiljanka Kvesić, Josip Pečarić, Graziano Crasta   +3 more
wiley   +1 more source

Convexity Properties in Non-Newtonian Calculus and Their Applications

European Journal of Mathematical Analysis
The study presented some results on convexity properties in non-Newtonian calculus. Also presented is the Jensen-Steffensen inequality in non-Newtonian calculus and some applications. The research was mainly on positive real numbers.
Asambo Awini Wilbert, Mohammed Muniru Iddrisu, Benedict Barnes   +2 more
doaj   +1 more source

A Refinement of Jensen's Discrete Inequality for Differentiable Convex Functions [PDF]

, 2002
A refinement of Jensen’s discrete inequality and applications for the celebrated Arithmetic Mean – Geometric Mean – Harmonc Mean inequality and Cauchy-Schwartz-Bunikowski inequality are pointed ...
Dragomir, Sever S, Scarmozzino, F. P
core