On Modified Integral Inequalities for a Generalized Class of Convexity and Applications
نویسندگان
چکیده
In this paper, we concentrate on and investigate the idea of a novel family modified p-convex functions. We elaborate some newly proposed idea’s attractive algebraic characteristics to support it. This is used study integral inequalities in frame Hermite–Hadamard type. A unique equality established for differentiable mappings. The inequality extended estimated number new ways with help strengthen findings. Finally, explore applications special think approach examined work will further pique interest curious researchers.
منابع مشابه
Generalized Convexity and Integral Inequalities
In this paper, we consider a very useful and significant class of convex sets and convex functions that is relative convex sets and relative convex functions which was introduced and studied by Noor [20]. Several new inequalities of Hermite-Hadamard type for relative convex functions are established using different approaches. We also introduce relative h-convex functions and is shown that rela...
متن کاملThe convexity of the integral operator on the class of the integral operator on the class B(mu,alpha)
In this paper, we study the convexity of the integral operator
متن کاملSome Generalized Integral Inequalities and Their Applications
In this paper, we generalize some integral inequalities to more general situations. These on the one hand generalize and on the other hand furnish a handy tool for the study of qualitative as well as quantitative properties of solutions of integral equations and differential equations. Applications are given to illustrate the usefulness of the inequalities.
متن کاملSome Weighted Integral Inequalities for Generalized Conformable Fractional Calculus
In this paper, we have obtained weighted versions of Ostrowski, Čebysev and Grüss type inequalities for conformable fractional integrals which is given by Katugompola. By using the Katugampola definition for conformable calculus, the present study confirms previous findings and contributes additional evidence that provide the bounds for more general functions.
متن کاملGeneralized Retarded Integral Inequalities of Gronwall Type and Applications
The integral inequalities occupy privileged position in the theory of differential and integral equations. In the recent years nonlinear integral inequalities have received considerable attention because of their important applications to a variety of problems in diverse fields of nonlinear differential and integral equations. In 1919, Gronwall [4] introduced the famous Gronwall inequality in t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Axioms
سال: 2023
ISSN: ['2075-1680']
DOI: https://doi.org/10.3390/axioms12020162