Results 41 to 50 of about 452,551 (268)
Some inequalities for operator (p,h)-convex functions
, 2017 Let $p$ be a positive number and $h$ a function on $\mathbb{R}^+$ satisfying $h(xy) \ge h(x) h(y)$ for any $x, y \in \mathbb{R}^+$. A non-negative continuous function $f$ on $K (\subset \mathbb{R}^+)$ is said to be {\it operator $(p,h)$-convex} if \begin{
Dinh, Trung Hoa, Vo, Khue TB
core +1 more source
Some Ostrowski type inequalities for p-convex functions via generalized fractional integrals [PDF]
Journal of Mathematical Inequalities, 2019 Summary: In this paper, some new Ostrowski type inequalities for generalized fractional integrals are obtained. An identity via generalized fractional integrals and differentiable mappings, together with a new concept are used.
Thatsatian, Arisa +2 more
openaire +1 more source
On HT-convexity and Hadamard-type inequalities
Journal of Inequalities and Applications, 2020 In the paper, the authors define a new notion of “HT-convex function”, present some Hadamard-type inequalities for the new class of HT-convex functions and for the product of any two HT-convex functions, and derive some inequalities for the arithmetic ...
Shu-Ping Bai, Shu-Hong Wang, Feng Qi
doaj +1 more source
Some New Inequalities for p‐Convex Functions via a K‐Fractional Conformable Integral
Journal of Mathematics, 2022 The intention of this paper is to develop some new Hermite–Jensen–Mercer type inequalities for p−convex functions via k−fractional conformable integrals. Several existing results are also discussed which can be deduced from our results.
Yan Dou +3 more
openaire +2 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 +5 more
openaire +3 more sources
New integral inequalities involving p-convex and s-p-convex functions
Communications Faculty Of Science University of Ankara Series A1Mathematics and StatisticsIn this study, new lemmas on $p-$convex and $s-p-$convex functions were derived utilizing the integral $\int_{j}^{k} \frac{\left(x^p - j^p\right)^f \left(k^p - x^p\right)^g m(x)}{x^{(f+g)p}} \,dx$. Through this equality, new integral inequalities were established, and novel upper bounds were obtained with the aid of Euler's beta and hypergeometric ...
Sercan Turhan +2 more
openaire +2 more sources
P-convexity of Musielak Orlicz function spaces of Bochner type
Revista Matemática Complutense, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kolwicz, Paweł, Płuciennik, Ryszard
openaire +2 more sources
Ostrowski type inequalities for $p$-convex functions
New Trends in Mathematical Science, 2016 In this paper, we give a different version of theconcept of -convex functions and obtain some new properties of -convex functions. Moreover we establish some Ostrowski type inequalitiesfor the class of functions whose derivatives in absolute values at certainpowers are -convex.
openaire +2 more sources
Cauchy type means for some generalized convex functions
Journal of Inequalities and Applications, 2021 In this paper, we establish Jensen’s inequality for s-convex functions in the first sense. By using Jensen’s inequalities, we obtain some Cauchy type means for p-convex and s-convex functions in the first sense.
Naila Mehreen, Matloob Anwar
doaj +1 more source
Journal of Mathematics, 2022 In this paper, a new class of functions, namely, exponentially α,h−m−p-convex functions is introduced to unify various classes of functions already defined in the subject of convex analysis.
Kamsing Nonlaopon +4 more
doaj +1 more source