A New Advanced Class of Convex Functions with Related Results
نویسندگان
چکیده
It is the purpose of this paper to propose a novel class convex functions associated with strong ?-convexity. A relationship between newly defined function and an earlier generalized hereby established. To point out importance new functions, some examples are presented. Additionally, famous Hermite–Hadamard inequality derived for family functions. Furthermore, inequalities results ?-convex also derived. We anticipate that will open research door more investigations in direction.
منابع مشابه
Bernstein's polynomials for convex functions and related results
In this paper we establish several polynomials similar to Bernstein's polynomials and several refinements of Hermite-Hadamard inequality for convex functions.
متن کاملSome Results on Convex Spectral Functions: I
In this paper, we give a fundamental convexity preserving for spectral functions. Indeed, we investigate infimal convolution, Moreau envelope and proximal average for convex spectral functions, and show that this properties are inherited from the properties of its corresponding convex function. This results have many applications in Applied Mathematics such as semi-definite programmings and eng...
متن کاملbernstein's polynomials for convex functions and related results
in this paper we establish several polynomials similar to bernstein's polynomials and several refinements of hermite-hadamard inequality for convex functions.
متن کاملA class of new results in FLM algebras
In this paper, we first derive some results by using the Gelfand spectrum and spectrum in FLM algebras. Then, the characterizations of multiplicative linear mappings are also discussed in these algebras.
متن کاملNew inequalities for a class of differentiable functions
In this paper, we use the Riemann-Liouville fractionalintegrals to establish some new integral inequalities related toChebyshev's functional in the case of two differentiable functions.
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/axioms12020195