Results 11 to 20 of about 441,089 (308)

Some Hermite–Hadamard type inequalities in the class of hyperbolic p-convex functions [PDF]

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2019
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Silvestru Sever Dragomir, Berikbol T. Torebek, Berikbol T. Torebek   +2 more
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New fractional approaches for n-polynomial P-convexity with applications in special function theory [PDF]

Advances in Difference Equations, 2020
Inequality theory provides a significant mechanism for managing symmetrical aspects in real-life circumstances. The renowned distinguishing feature of integral inequalities and fractional calculus has a solid possibility to regulate continuous issues ...
Shu-Bo Chen, Saima Rashid, Muhammad Aslam Noor, Zakia Hammouch, Yu-Ming Chu   +4 more
doaj   +3 more sources

n–polynomial exponential type p–convex function with some related inequalities and their applications [PDF]

Heliyon, 2020
In this paper, the idea and its algebraic properties of n-polynomial exponential type p-convex function have been investigated. Authors prove new trapezium type inequality for this new class of functions. We also obtain some refinements of the trapezium type inequality for functions whose first derivative in absolute value at certain power are n ...
Saad Ihsan Butt, Artion Kashuri, Muhammad Tariq, Jamshed Nasir, Adnan Aslam, Wei Gao   +5 more
openalex   +6 more sources

Some Inequalities of Generalized p-Convex Functions concerning Raina’s Fractional Integral Operators [PDF]

Journal of Mathematics, 2021
Convex functions play an important role in pure and applied mathematics specially in optimization theory. In this paper, we will deal with well-known class of convex functions named as generalized p-convex functions.
Changyue Chen, Muhammad Shoaib Sallem, Muhammad Sajid Zahoor   +2 more
doaj   +2 more sources

Hermite-Hadamard inequalities for differentiable p-convex functions using hypergeometric functions

Publications de l'Institut Mathematique, 2016
We derive some new integral identities for differentiable functions. Then using these auxiliary results, we obtain new Hermite-Hadamard type inequalities for differentiable p-convex functions. Some special cases are also discussed.
Muhammad Aslam Noor, Muhammad Uzair Awan, Marcela V. Mihai, Khalida Inayat Noor   +3 more
openalex   +4 more sources

HERMITE-HADAMARD TYPE INEQUALITIES FOR P-CONVEX FUNCTIONS VIA KATUGAMPOLA FRACTIONAL INTEGRALS [PDF]

Facta Universitatis, Series: Mathematics and Informatics, 2019
In this paper, firstly the authors establish Hermite-Hadamard inequality for p-convex functions via Katugampola fractional integrals. Then a new identity involving Katugampola fractional integrals is proved. By using this identity, some new Hermite-Hadamard type inequalities for classes of p-convex functions are obtained.
Tekin Toplu, Erhan Set, İmdat İşcan, Selahattın Maden   +3 more
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The Hermite-Hadamard type inequalities for the functions whose derivative is logarithmic $p$-convex function

Hacettepe Journal of Mathematics and Statistics
By means of an integral identity, several Hermite-Hadamard type inequalities are presented in this study for a function whose derivative's absolute value is the log-p-convex function. With the use of these findings, we are able to determine the boundaries in terms of elementary functions for certain specific functions, such as the imaginary error ...
Gültekin Tınaztepe, Sinem Sezer Evcan, Zeynep Eken, Sevda Sezer   +3 more
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SOME NEW SIMPSON TYPE INEQUALITIES FOR THE p-CONVEX AND p-CONCAVE FUNCTIONS

Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2018
In this paper, we establish some new Simpson type inequalities for the class of functions whose derivatives in absolute values at certain powers are p-convex and p ...
İmdat İşcan, Nihan Kalyoncu KONUK, Mahir Kadakal   +2 more
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On Some Generalized Fractional Integral Inequalities for p-Convex Functions [PDF]

Fractal and Fractional, 2019
In this paper, firstly we have established a new generalization of Hermite–Hadamard inequality via p-convex function and fractional integral operators which generalize the Riemann–Liouville fractional integral operators introduced by Raina, Lun and Agarwal.
Seren Salaş, Yeter Erdaş, Tekin Toplu, Erhan Set   +3 more
openalex   +5 more sources

A new refinement of the Hermite-Hadamard type inequalities for operator ( p − q ) $(p-q) $ -convex functions

Journal of Inequalities and Applications
In this paper, we establish a new refinement of Hermite-Hadamard-type inequalities for ( p − q ) $(p-q) $ -convex functions. By the definition of suitable functions, we extend this refinement to operator ( p − q ) $(p-q) $ -convex functions associated ...
Gholamreza Zabandan, Farideh Tahmasbnia
doaj   +2 more sources