scholarly journals New generalized integral inequalities with applications

2019 ◽  
Vol 4 (3) ◽  
pp. 984-996
Author(s):  
Artion Kashuri ◽  
◽  
Rozana Liko ◽  
Silvestru Sever Dragomir ◽  
Keyword(s):  
Integral Inequalities ◽  
Generalized Integral Inequalities

scholarly journals New Estimations of Hermite–Hadamard Type Integral Inequalities for Special Functions

2021 ◽  
Vol 5 (4) ◽  
pp. 144
Author(s):  
Hijaz Ahmad ◽  
Muhammad Tariq ◽  
Soubhagya Kumar Sahoo ◽  
Jamel Baili ◽  
Clemente Cesarano
Keyword(s):  
Special Functions ◽  
Type Inequality ◽  
Integral Inequalities ◽  
The Novel ◽  
Current Pattern ◽  
Hadamard Inequality ◽  
Special Means ◽  
Algebraic Properties ◽  
Type Integral ◽  
Generalized Integral Inequalities

In this paper, we propose some generalized integral inequalities of the Raina type depicting the Mittag–Leffler function. We introduce and explore the idea of generalized s-type convex function of Raina type. Based on this, we discuss its algebraic properties and establish the novel version of Hermite–Hadamard inequality. Furthermore, to improve our results, we explore two new equalities, and employing these we present some refinements of the Hermite–Hadamard-type inequality. A few remarkable cases are discussed, which can be seen as valuable applications. Applications of some of our presented results to special means are given as well. An endeavor is made to introduce an almost thorough rundown of references concerning the Mittag–Leffler functions and the Raina functions to make the readers acquainted with the current pattern of emerging research in various fields including Mittag–Leffler and Raina type functions. Results established in this paper can be viewed as a significant improvement of previously known results.

scholarly journals On some generalized integral inequalities for Riemann-Liouville fractional integrals

Filomat ◽  
2015 ◽  
Vol 29 (6) ◽  
pp. 1307-1314 ◽  
Author(s):  
Mehmet Sarikaya ◽  
Hatice Filiz ◽  
Mehmet Kiris
Keyword(s):  
Integral Inequalities ◽  
Fractional Integrals ◽  
Generalized Integral Inequalities

scholarly journals Generalized integral inequalities on time scales

2016 ◽  
Vol 2016 (1) ◽  
Author(s):  
Tooba Fayyaz ◽  
Nazia Irshad ◽  
Asif R Khan ◽  
Ghaus ur Rahman ◽  
Gholam Roqia
Keyword(s):  
Time Scales ◽  
Integral Inequalities ◽  
Generalized Integral Inequalities

Some Generalized Integral Inequalities

2011 ◽  
Vol 3 (4) ◽  
pp. 58-66 ◽  
Author(s):  
Dahmani
Keyword(s):  
Integral Inequalities ◽  
Generalized Integral Inequalities

Generalized integral inequalities for m–convex functions

2016 ◽  
Author(s):  
Alper Ekinci ◽  
M. Emin Özdemir
Keyword(s):  
Convex Functions ◽  
Integral Inequalities ◽  
Generalized Integral Inequalities

scholarly journals Generalized Integral Inequalities for Hermite-Hadamard Type via s-Convexity on Fractal Sets

2019 ◽  
Author(s):  
Ohud Almutairi ◽  
Adem Kilicman
Keyword(s):  
Integral Inequalities ◽  
Fractal Sets ◽  
Second Derivatives ◽  
The Absolute ◽  
New Inequalities ◽  
Generalized Integral Inequalities

In this article, the new Hermite–Hadamard type inequalities are studied via generalized s-convexity on fractal sets. These inequalities derived on fractal sets are shown to be the generalized s-convexity on fractal sets. We proved that the absolute values of the first and second derivatives for the new inequalities are the generalization of s-convexity on fractal sets.

scholarly journals Generalized integral inequalities for fractional calculus

2018 ◽  
Vol 5 (1) ◽  
pp. 1426205
Author(s):  
Muhammad Samraiz ◽  
Sajid Iqbal ◽  
Josip Pečarić ◽  
Lishan Liu
Keyword(s):  
Fractional Calculus ◽  
Integral Inequalities ◽  
Generalized Integral Inequalities
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