Radial exponentially convex functions

1972 ◽  
Vol 25 (1) ◽  
pp. 277-288 ◽  
Author(s):  
A. E. Nussbaum
Keyword(s):  
Convex Functions ◽  
Exponentially Convex Functions

Refinements of the majorization-type inequalities via green and fink identities and related results

2018 ◽  
Vol 68 (4) ◽  
pp. 773-788 ◽  
Author(s):  
Sadia Khalid ◽  
Josip Pečarić ◽  
Ana Vukelić
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Convex Functions ◽  
Type Inequality ◽  
Cauchy Type ◽  
Linear Functionals ◽  
Ostrowski’S Inequality ◽  
New Family ◽  
Exponentially Convex Functions ◽  
The Difference

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.

scholarly journals New Hermite-Hadamard type inequalities for exponentially convex functions and applications

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

scholarly journals Some Estimates for Generalized Riemann-Liouville Fractional Integrals of Exponentially Convex Functions and Their Applications

Mathematics ◽  
2019 ◽  
Vol 7 (9) ◽  
pp. 807 ◽  
Author(s):  
Saima Rashid ◽  
Thabet Abdeljawad ◽  
Fahd Jarad ◽  
Muhammad Aslam Noor
Keyword(s):  
Convex Function ◽  
Convex Functions ◽  
Fractional Integral ◽  
Fractional Integrals ◽  
Order Derivative ◽  
Fundamental Identity ◽  
First Order ◽  
Special Means ◽  
Exponentially Convex Functions ◽  
New Inequalities

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.

EXPONENTIAL CONVEXITY FOR DIVIDED DIFFERENCES RELATED TO HERMITE–HADAMARD INEQUALITIES

2012 ◽  
Vol 05 (04) ◽  
pp. 1250056
Author(s):  
Z. Pavić ◽  
J. Pečarić ◽  
A. Vukelić
Keyword(s):  
Convex Functions ◽  
Monotonicity Property ◽  
Divided Differences ◽  
Exponential Convexity ◽  
Exponentially Convex Functions

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

scholarly journals Ostrowski type inequalities via some exponentially convex functions with applications

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

scholarly journals On Bounds of fractional integral operators containing Mittag-Leffler functions for generalized exponentially convex functions

2021 ◽  
Vol 6 (6) ◽  
pp. 6454-6468
Author(s):  
Maryam Saddiqa ◽  
◽  
Ghulam Farid ◽  
Saleem Ullah ◽  
Chahn Yong Jung ◽  
...  
Keyword(s):  
Convex Functions ◽  
Fractional Integral ◽  
Integral Operators ◽  
Fractional Integral Operators ◽  
Exponentially Convex Functions

scholarly journals An Opial-type integral inequality and exponentially convex functions

2015 ◽  
pp. 25-42
Author(s):  
Maja Andrić ◽  
Ana Barbir ◽  
Sajid Iqbal ◽  
Josip Pečarić
Keyword(s):  
Integral Inequality ◽  
Convex Functions ◽  
Type Integral ◽  
Exponentially Convex Functions
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