scholarly journals SCHUR-CONVEXITY OF INTEGRAL ARITHMETIC MEANS OF CO-ORDINATED CONVEX FUNCTIONS IN `R^3`

2020 ◽  
Vol 1 (1) ◽  
pp. 0-0
Author(s):  
Nozar Safaei ◽  
Ali Barani ◽  
◽  
Keyword(s):  
Convex Functions ◽  
Arithmetic Means ◽  
Schur Convexity

scholarly journals Schur-Convexity of Averages of Convex Functions

2011 ◽  
Vol 2011 (1) ◽  
pp. 581918 ◽  
Author(s):  
Vera Čuljak ◽  
Iva Franjić ◽  
Roqia Ghulam ◽  
Josip Pečarić
Keyword(s):  
Convex Functions ◽  
Schur Convexity

scholarly journals Extensions and improvements of Sherman’s and related inequalities for n-convex functions

2017 ◽  
Vol 15 (1) ◽  
pp. 936-947
Author(s):  
Slavica Ivelić Bradanović ◽  
Josip Pečarić
Keyword(s):  
Convex Functions ◽  
Green's Functions ◽  
Green’S Functions ◽  
Jensen’S Inequality ◽  
Jensen's Inequality ◽  
Arithmetic Means ◽  
Fink’S Identity ◽  
New Inequalities

AbstractThis paper gives extensions and improvements of Sherman’s inequality forn-convex functions obtained by using new identities which involve Green’s functions and Fink’s identity. Moreover, extensions and improvements of Majorization inequality as well as Jensen’s inequality are obtained as direct consequences. New inequalities between geometric, logarithmic and arithmetic means are also established.

scholarly journals Determination of Bounds for the Jensen Gap and Its Applications

Mathematics ◽  
2021 ◽  
Vol 9 (23) ◽  
pp. 3132
Author(s):  
Hidayat Ullah ◽  
Muhammad Adil Khan ◽  
Tareq Saeed
Keyword(s):  
Information Theory ◽  
Current Literature ◽  
Convex Functions ◽  
Concave Function ◽  
Hölder Inequality ◽  
Jensen Inequality ◽  
Power Mean ◽  
Arithmetic Means ◽  
Jensen Difference

The Jensen inequality has been reported as one of the most consequential inequalities that has a lot of applications in diverse fields of science. For this reason, the Jensen inequality has become one of the most discussed developmental inequalities in the current literature on mathematical inequalities. The main intention of this article is to find some novel bounds for the Jensen difference while using some classes of twice differentiable convex functions. We obtain the proposed bounds by utilizing the power mean and Höilder inequalities, the notion of convexity and the prominent Jensen inequality for concave function. We deduce several inequalities for power and quasi-arithmetic means as a consequence of main results. Furthermore, we also establish different improvements for Hölder inequality with the help of obtained results. Moreover, we present some applications of the main results in information theory.

Certain results on starlike and convex functions

2020 ◽  
Vol 4 (2) ◽  
pp. 1-14
Author(s):  
Pardeep Kaur ◽  
◽  
Sukhwinder Singh Billing ◽  
Keyword(s):  
Convex Functions ◽  
Starlike And Convex Functions
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