Results 1 to 10 of about 27,096,421 (191)

Generalized fractional integral inequalities for exponentially ( s , m ) $(s,m)$ -convex functions

open access: yesJournal of Inequalities and Applications, 2020
In this paper we have derived the fractional integral inequalities by defining exponentially ( s , m ) $(s,m)$ -convex functions. These inequalities provide upper bounds, boundedness, continuity, and Hadamard type inequality for fractional integrals ...
Xiaoli Qiang   +3 more
doaj   +2 more sources

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   +2 more sources

Hermite–Hadamard type inequalities for exponentially p-convex functions and exponentially s-convex functions in the second sense with applications

open access: yesJournal of Inequalities and Applications, 2019
In this paper, we introduce the notion of exponentially p-convex function and exponentially s-convex function in the second sense. We establish several Hermite–Hadamard type inequalities for exponentially p-convex functions and exponentially s-convex ...
Naila Mehreen, Matloob Anwar
doaj   +3 more sources

Some Local Fractional Inequalities Involving Fractal Sets via Generalized Exponential (s,m)-Convexity

open access: yesAxioms, 2023
Research in this paper aims to explore the concept of generalized exponentially (s,m)-convex functions, and to determine some properties of these functions.
Wedad Saleh, Adem Kılıçman
doaj   +1 more source

Some Refinements of Hermite–Hadamard Type Integral Inequalities Involving Refined Convex Function of the Raina Type

open access: yesAxioms, 2023
The aim of this work is to elaborate and define the idea of refined convex function of the Raina type. In addition, we have attained some associated properties in the manner of the newly introduced idea.
Muhammad Tariq   +2 more
doaj   +1 more source

GENERALIZED ORLICZ SEQUENCE SPACES

open access: yesBarekeng, 2023
Orlicz spaces were first introduced by Z. W. Birnbaum and W. Orlicz as an extension of Labesgue space in 1931. There are two types of Orlicz spaces, namely continuous Orlicz spaces and Orlicz sequence spaces.
Cece Kustiawan   +5 more
doaj   +1 more source

Monotonicity of Orlicz Function Space-equipped with S-norm

open access: yesJournal of Harbin University of Science and Technology, 2021
Monotonicity is important to Banach space geometry. In this paper,the monotonicity of Orlicz spaces equipped with the s-norm are dicussed. First,we gave some basic properties of the spaces.
WANG Jun-ming, TONG Qiu-yi
doaj   +1 more source

Fractional Ostrowski-type Inequalities via $(\alpha,\beta,\gamma,\delta)-$convex Function [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2023
In this paper, we are introducing for the first time a generalized class named the class of $(\alpha,\beta,\gamma,\delta)-$convex functions of mixed kind.
Ali Hassan   +3 more
doaj   +1 more source

Generation of new fractional inequalities via n polynomials s-type convexity with applications

open access: yesAdvances in Difference Equations, 2020
The celebrated Hermite–Hadamard and Ostrowski type inequalities have been studied extensively since they have been established. We find novel versions of the Hermite–Hadamard and Ostrowski type inequalities for the n-polynomial s-type convex functions in
Saima Rashid   +3 more
doaj   +1 more source

Some Ostrowski’S Type Inequalities For Functions Whose Second Derivatives Are S-Convex In The Second Sense

open access: yesDemonstratio Mathematica, 2014
Some new inequalities of the Ostrowski type for twice differentiable mappings whose derivatives in absolute value are s-convex in the second sense are ...
Set Erhan   +2 more
doaj   +1 more source

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