Results 41 to 50 of about 586 (111)

Generalization of Jensen's and Jensen-Steffensen's inequalities by generalized majorization theorem [PDF]

Journal of mathematical inequalities, 2017
In this paper, we use generalized majorization theorem and give the generalizations of Jensen’s and Jensen-Steffensen’s inequalities. We present the generalization of converse of Jensen’s inequality. We give bounds for the identities related to the generalization of Jensen’s inequality by using ˇ Cebyˇsev functionals.
Khan, M. A., Khan, J., Pečarić, J.
openaire   +3 more sources

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

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

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

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

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

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  

Fractional Integral Inequalities for Generalized Interval‐Valued Functions With Applications in Stock Price Prediction via LSTM

Journal of Mathematics, Volume 2026, Issue 1, 2026.
We explore the features of fractional integral inequalities for some new classes of interval‐valued convex functions (CF s) to establish their generalization compared to the previously known real‐valued CF s. Motivated by the foundational role of mathematical inequalities in analysis and optimization, we delve into the formulation and proof of integral
Ahsan Fareed Shah, Patricia J. Y. Wong, Nasir Rehman, Salah Mahmoud Boulaaras, Muhammad Shoaib Saleem, B. B Upadhyay   +5 more
wiley   +1 more source

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