Results 41 to 50 of about 27,923,310 (175)
Hermite-Hadamard inequalities for differentiable p-convex functions using hypergeometric functions
Publications de l'Institut Mathematique, 2016 We derive some new integral identities for differentiable functions. Then using these auxiliary results, we obtain new Hermite-Hadamard type inequalities for differentiable p-convex functions. Some special cases are also discussed.
Noor, Muhammad Aslam +3 more
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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
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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
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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
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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
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HERMITE-HADAMARD TYPE INEQUALITIES FOR P-CONVEX FUNCTIONS VIA KATUGAMPOLA FRACTIONAL INTEGRALS [PDF]
Facta Universitatis, Series: Mathematics and Informatics, 2019 In this paper, firstly the authors establish Hermite-Hadamard inequality for p-convex functions via Katugampola fractional integrals. Then a new identity involving Katugampola fractional integrals is proved. By using this identity, some new Hermite-Hadamard type inequalities for classes of p-convex functions are obtained.
Toplu, Tekin +3 more
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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
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Generalizations of p-valent functions via the hadamard product
International Journal of Mathematics and Mathematical Sciences, 1982 The classes of univalent prestarlike functions Rα, α≥−1, of Ruscheweyh [1] and a certain generalization of Rα were studied recently by Al-Amiri [2]. The author studies, among other things, the classes of p-valent functions R(α+p−1) where p is a positive ...
Anil K. Soni
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New integral inequalities involving beta function via $P$-convexity [PDF]
Miskolc Mathematical Notes, 2014 Summary: In this note we establish some estimates, involving the Euler-beta function, of the integral \(\int^b_a (x-a)^p(b-x)^qf(x)dx\) for functions when a power of the absolute value is \(P\)-convex. An extension to functions of several variables is also obtained.
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Generalizations of the Hermite-Hadamard Type Inequalities for Functions whose Derivatives are s-Convex [PDF]
, 2009 Some new results related to the right-hand side of the Hermite- Hadamard type inequality for the class of functions whose derivatives at certain powers are s-convex functions in the second sense are ...
Kirmaci, US +3 more
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