scholarly journals New generalized reverse Minkowski and related integral inequalities involving generalized fractional conformable integrals

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Saima Rashid ◽  
Ahmet Ocak Akdemir ◽  
Kottakkaran Sooppy Nisar ◽  
Thabet Abdeljawad ◽  
Gauhar Rahman
Keyword(s):  
Integral Inequalities ◽  
Related Integral

scholarly journals On GT-convexity and related integral inequalities

2020 ◽  
Vol 5 (4) ◽  
pp. 3952-2965
Author(s):  
Shu-Hong Wang ◽  
◽  
Xiao-Wei Sun ◽  
Bai-Ni Guo ◽  
◽  
...  
Keyword(s):  
Integral Inequalities ◽  
Related Integral

scholarly journals Generalizations of Hölder’s and Some Related Integral Inequalities on Fractal Space

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Guang-Sheng Chen
Keyword(s):  
Fractional Calculus ◽  
Integral Inequality ◽  
Hölder’S Inequality ◽  
Integral Inequalities ◽  
Hölder's Inequality ◽  
Local Fractional Calculus ◽  
Related Integral ◽  
Fractal Space

Based on the local fractional calculus, we establish some new generalizations of Hölder’s inequality. By using it, some related results on the generalized integral inequality in fractal space are investigated in detail.

scholarly journals Approximately two-dimensional harmonic $(p_{1},h_{1})$-$(p_{2},h_{2})$-convex functions and related integral inequalities

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Saad Ihsan Butt ◽  
Artion Kashuri ◽  
Muhammad Nadeem ◽  
Adnan Aslam ◽  
Wei Gao
Keyword(s):  
Convex Functions ◽  
Integral Inequalities ◽  
Two Dimensional ◽  
New Class ◽  
Special Cases ◽  
Related Integral ◽  
Harmonic Convex

Abstract The aim of this study is to introduce the notion of two-dimensional approximately harmonic $(p_{1},h_{1})$ ( p 1 , h 1 ) -$(p_{2},h_{2})$ ( p 2 , h 2 ) -convex functions. We show that the new class covers many new and known extensions of harmonic convex functions. We formulate several new refinements of Hermite–Hadamard like inequalities involving two-dimensional approximately harmonic $(p_{1},h_{1})$ ( p 1 , h 1 ) -$(p_{2},h_{2})$ ( p 2 , h 2 ) -convex functions. We discuss in detail the special cases that can be deduced from the main results of the paper.

scholarly journals Co-ordinated σ-convex function and related integral inequalities.

Authorea ◽  
2020 ◽  
Author(s):  
Hira baig ◽  
Naveed Ahmad ◽  
Qurat ul Ain Ahmad ◽  
Muhammad Atif Idrees
Keyword(s):  
Convex Function ◽  
Integral Inequalities ◽  
Related Integral

On strongly generalized convex functions

Filomat ◽  
2017 ◽  
Vol 31 (18) ◽  
pp. 5783-5790 ◽  
Author(s):  
Muhammad Awan ◽  
Muhammad Noor ◽  
Khalida Noor ◽  
Farhat Safdar
Keyword(s):  
Convex Functions ◽  
Integral Inequalities ◽  
Generalized Convex Functions ◽  
Strongly Convex Functions ◽  
Strongly Convex ◽  
Special Cases ◽  
Related Integral

The main objective of this article is to introduce the notion of strongly generalized convex functions which is called as strongly ?-convex functions. Some related integral inequalities of Hermite-Hadamard and Hermite-Hadamard-Fej?r type are also obtained. Special cases are also investigated.

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