Radial exponentially convex functions

1972 ◽  
Vol 25 (1) ◽  
pp. 277-288 ◽  
Author(s):  
A. E. Nussbaum
2018 ◽  
Vol 68 (4) ◽  
pp. 773-788 ◽  
Author(s):  
Sadia Khalid ◽  
Josip Pečarić ◽  
Ana Vukelić

Abstract In this work, the Green’s function of order two is used together with Fink’s approach in Ostrowski’s inequality to represent the difference between the sides of the Sherman’s inequality. Čebyšev, Grüss and Ostrowski-type inequalities are used to obtain several bounds of the presented Sherman-type inequality. Further, we construct a new family of exponentially convex functions and Cauchy-type means by looking to the linear functionals associated with the obtained inequalities.


2020 ◽  
Vol 5 (6) ◽  
pp. 6874-6901 ◽  
Author(s):  
Shuang-Shuang Zhou ◽  
◽  
Saima Rashid ◽  
Muhammad Aslam Noor ◽  
Khalida Inayat Noor ◽  
...  

Mathematics ◽  
2019 ◽  
Vol 7 (9) ◽  
pp. 807 ◽  
Author(s):  
Saima Rashid ◽  
Thabet Abdeljawad ◽  
Fahd Jarad ◽  
Muhammad Aslam Noor

In the present paper, we investigate some Hermite-Hadamard ( HH ) inequalities related to generalized Riemann-Liouville fractional integral ( GRLFI ) via exponentially convex functions. We also show the fundamental identity for GRLFI having the first order derivative of a given exponentially convex function. Monotonicity and exponentially convexity of functions are used with some traditional and forthright inequalities. In the application part, we give examples and new inequalities for the special means.


2012 ◽  
Vol 05 (04) ◽  
pp. 1250056
Author(s):  
Z. Pavić ◽  
J. Pečarić ◽  
A. Vukelić

In this paper we obtain means which involve divided differences for n-convex functions. We examine their monotonicity property using exponentially convex functions.


2020 ◽  
Vol 5 (2) ◽  
pp. 1476-1483
Author(s):  
Naila Mehreen ◽  
◽  
Matloob Anwar

2021 ◽  
Vol 6 (6) ◽  
pp. 6454-6468
Author(s):  
Maryam Saddiqa ◽  
◽  
Ghulam Farid ◽  
Saleem Ullah ◽  
Chahn Yong Jung ◽  
...  

2015 ◽  
pp. 25-42
Author(s):  
Maja Andrić ◽  
Ana Barbir ◽  
Sajid Iqbal ◽  
Josip Pečarić

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