Results 21 to 30 of about 78,871 (265)

Some Generalized Formulas of Hadamard-Type Fractional Integral Inequalities

open access: yesJournal of Function Spaces, 2022
This paper is aimed at establishing the generalized forms of Riemann-Liouville fractional inequalities of the Hadamard type for a class of functions known as strongly exponentially α,h−m-p-convex functions.
Xiujun Zhang   +3 more
doaj   +1 more source

Exponentially Convex Functions on the Coordinates and Novel Estimations via Riemann-Liouville Fractional Operator

open access: yesJournal of Function Spaces, 2023
In this study, the modification of the concept of exponentially convex function, which is a general version of convex functions, given on the coordinates, is recalled.
Ahmet Ocak Akdemir   +3 more
doaj   +1 more source

Fractional Hadamard and Fejér-Hadamard Inequalities Associated with Exponentially s,m-Convex Functions

open access: yesJournal of Function Spaces, 2020
The aim of this paper is to present the fractional Hadamard and Fejér-Hadamard inequalities for exponentially s,m-convex functions. To establish these inequalities, we will utilize generalized fractional integral operators containing the Mittag-Leffler ...
Shuya Guo   +4 more
doaj   +1 more source

Exponential Starlikeness and Convexity of Confluent Hypergeometric, Lommel, and Struve Functions [PDF]

open access: yesMediterranean Journal of Mathematics, 2020
Sufficient conditions are obtained on the parameters of Lommel function of the first kind, generalized Struve function of the first kind and the confluent hypergeometric function under which these special functions become exponential convex and exponential starlike in the open unit disk.
Adiba Naz, Sumit Nagpal, V. Ravichandran
openaire   +2 more sources

Boundedness of Fractional Integral Operators Containing Mittag-Leffler Function via Exponentially s-Convex Functions

open access: yesJournal of Mathematics, 2020
The main objective of this paper is to obtain the fractional integral operator inequalities which provide bounds of the sum of these operators at an arbitrary point. These inequalities are derived for s-exponentially convex functions.
Gang Hong   +6 more
doaj   +1 more source

Ostrowski-Type Fractional Integral Inequalities: A Survey

open access: yesFoundations, 2023
This paper presents an extensive review of some recent results on fractional Ostrowski-type inequalities associated with a variety of convexities and different kinds of fractional integrals.
Muhammad Tariq   +2 more
doaj   +1 more source

Generalizations of Steffensen's inequality via Fink's identity and related results II [PDF]

open access: yes, 2015
We use Fink's identity to obtain new identities related to generalizations of Steffensen's inequality. Ostrowski-type inequalities related to these generalizations are also given.
Pecaric, Josip   +2 more
core   +2 more sources

Petrovic’s ´ type inequality for exponentially convex functions and coordinated exponentially convex functions

open access: yesPunjab University Journal of Mathematics, 2021
: In this paper, we produce a novel framework of a subclass of convex functions that is exponentially convex functions. Moreover, it is observed that the new concept helps to build new inequalities of Petrovic’s ´ type by employing exponentially convex functions.
openaire   +1 more source

Some new integral inequalities for higher-order strongly exponentially convex functions

open access: yesJournal of Inequalities and Applications, 2023
Integral inequalities with generalized convexity play an important role in both applied and theoretical mathematics. The theory of integral inequalities is currently one of the most rapidly developing areas of mathematics due to its wide range of ...
Jaya Bisht   +3 more
doaj   +1 more source

On the length and area spectrum of analytic convex domains [PDF]

open access: yes, 2016
Area-preserving twist maps have at least two different (p, q)-periodic orbits and every (p, q)-periodic orbit has its (p, q)-periodic action for suitable couples (p, q).
Martín, Pau   +2 more
core   +2 more sources

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