Results 21 to 30 of about 498,881 (101)
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 This paper aims to present a generalized and extended notation of convexity by unifying reciprocally strong convexity with (h, s)−convexity. We introduce the concept of reciprocally strongly (h, s)−convex functions and establish some of their fundamental properties. In addition, we establish various inequalities, including Jensen, Hermite–Hadamard, and
Yujun Wang +4 more
wiley +1 more source
New Fractional Inequalities through Convex Functions and Comprehensive Riemann–Liouville Integrals
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 In most fields of applied sciences, inequalities are important in constructing mathematical systems and associated solution functions. Convexity also has a significant impact on an assortment of mathematical topics. By utilizing a comprehensive version of Riemann–Liouville integrals and the functions’ convexity condition, we present and prove novel ...
Abd-Allah Hyder, Çetin Yildiz
wiley +1 more source
Mathematics, 2023 We propose the concept of up and down harmonically convex mapping for fuzzy-number-valued mapping as our main goal in this work. With the help of up and down harmonically fuzzy-number convexity and the fuzzy fractional integral operator, we also show the
Muhammad Bilal Khan +4 more
doaj +1 more source
Generalized Fractional Integral Inequalities for MT‐Non‐Convex and pq‐Convex Functions
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 Fractional integral inequalities have a wide range of applications in pure and applied mathematics. In the present research, we establish generalized fractional integral inequalities for MT‐non‐convex functions and pq‐convex functions. Our results extended many inequalities already existing in the literature.
Wei Wang +4 more
wiley +1 more source
Comparisons of Two Integral Inequalities with Hermite-Hadamard-Jensen's Integral Inequality [PDF]
, 2005 Certain comparisons of Iyengar-Mahajani’s and Kesava Menon’s integral inequalities with Hermite-Hadamard-Jensen’s integral inequalities are considered and some mistakes in the paper [On certain inequalities by Iyengar and Kesava Menon, Octogon Math ...
Qi, Feng, Yang, Meng-Long
core +6 more sources
The Properties of Harmonically cr-h-Convex Function and Its Applications
Mathematics, 2022 In this paper, the definition of the harmonically cr-h-convex function is given, and its important properties are discussed. Jensen type inequality, Hermite–Hadamard type inequalities and Fejér type inequalities for harmonically cr-h-convex functions are
Wei Liu +3 more
doaj +1 more source
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 In the present paper, we deal with some fractional integral inequalities for strongly reciprocally (p, h)‐convex functions. We established fractional version of Hermite‐Hadamard and Fejér type inequalities for strongly reciprocally (p, h)‐convex functions. Our results extend and generalize many exiting results of literate.
Lei Geng +4 more
wiley +1 more source
Refinements of the integral Jensen’s inequality generated by finite or infinite permutations
Journal of Inequalities and Applications, 2021 There are a lot of papers dealing with applications of the so-called cyclic refinement of the discrete Jensen’s inequality. A significant generalization of the cyclic refinement, based on combinatorial considerations, has recently been discovered by the ...
László Horváth
doaj +1 more source
Some generalized Hermite–Hadamard–Fejér inequality for convex functions
Advances in Difference Equations, 2021 In this paper, we have established some generalized inequalities of Hermite–Hadamard–Fejér type for generalized integrals. The results obtained are applied for fractional integrals of various type and therefore contain some previous results reported in ...
Miguel Vivas-Cortez +2 more
doaj +1 more source
Hermite-Hadamard-Fejér Inequality Related to Generalized Convex Functions via Fractional Integrals
Journal of Mathematics, 2018 This paper deals with Hermite-Hadamard-Fejér inequality for (η1,η2)-convex functions via fractional integrals. Some mid-point and trapezoid type inequalities related to Hermite-Hadamard inequality when the absolute value of derivative of considered ...
M. Rostamian Delavar +2 more
doaj +1 more source