Peter R. Mercer

430 total citations
36 papers, 228 citations indexed

About

Peter R. Mercer is a scholar working on Applied Mathematics, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, Peter R. Mercer has authored 36 papers receiving a total of 228 indexed citations (citations by other indexed papers that have themselves been cited), including 26 papers in Applied Mathematics, 15 papers in Geometry and Topology and 7 papers in Mathematical Physics. Recurrent topics in Peter R. Mercer's work include Mathematical Inequalities and Applications (13 papers), Holomorphic and Operator Theory (12 papers) and Functional Equations Stability Results (8 papers). Peter R. Mercer is often cited by papers focused on Mathematical Inequalities and Applications (13 papers), Holomorphic and Operator Theory (12 papers) and Functional Equations Stability Results (8 papers). Peter R. Mercer collaborates with scholars based in United States, Canada and United Kingdom. Peter R. Mercer's co-authors include Barbara D. MacCluer, A. McD. Mercer and G. J. O. Jameson and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Transactions of the American Mathematical Society and American Mathematical Monthly.

In The Last Decade

Peter R. Mercer

30 papers receiving 186 citations

Peers

Peter R. Mercer
B. V. Senthil Kumar India
M. Matić Croatia
F. G. Аbdullayev Türkiye
Endre Makai Hungary
Laura Găvruţa Romania
Kendall C. Richards United States
Aaron Levin United States
Danuta Przeworska‐Rolewicz Poland
J. G. Timourian Canada
Muhammad Tariq Pakistan
B. V. Senthil Kumar India
Peter R. Mercer
Citations per year, relative to Peter R. Mercer Peter R. Mercer (= 1×) peers B. V. Senthil Kumar

Countries citing papers authored by Peter R. Mercer

Since Specialization
Citations

This map shows the geographic impact of Peter R. Mercer's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Peter R. Mercer with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Peter R. Mercer more than expected).

Fields of papers citing papers by Peter R. Mercer

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Peter R. Mercer. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Peter R. Mercer. The network helps show where Peter R. Mercer may publish in the future.

Co-authorship network of co-authors of Peter R. Mercer

This figure shows the co-authorship network connecting the top 25 collaborators of Peter R. Mercer. A scholar is included among the top collaborators of Peter R. Mercer based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Peter R. Mercer. Peter R. Mercer is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Mercer, Peter R.. (2023). 107.20 Euler’s constant and the speed of convergence. The Mathematical Gazette. 107(569). 320–323.
2.
Mercer, Peter R.. (2022). Extending Extending Bernoulli’s Inequality. College Mathematics Journal. 53(2). 149–150.
3.
Mercer, Peter R.. (2017). 101.07 Cauchy’s mean value theorem meets the logarithmic mean. The Mathematical Gazette. 101(550). 108–115. 1 indexed citations
4.
Mercer, Peter R.. (2017). A note on inequalities due to Clausing and Levin-Stečkin. Journal of Mathematical Inequalities. 163–166. 1 indexed citations
5.
Mercer, Peter R.. (2014). More Calculus of a Single Variable. Undergraduate texts in mathematics. 9 indexed citations
6.
Mercer, Peter R.. (2008). Hadamard's inequality and Trapezoid Rules for the Riemann–Stieltjes integral. Journal of Mathematical Analysis and Applications. 344(2). 921–926. 22 indexed citations
7.
Mercer, Peter R.. (2007). A refined Cauchy-Schwarz inequality. International Journal of Mathematical Education in Science and Technology. 38(6). 839–843. 5 indexed citations
8.
Mercer, Peter R.. (2006). Schwarz-Pick-type estimates for the hyperbolic derivative. Journal of Inequalities and Applications. 2006. 1–6. 1 indexed citations
9.
Mercer, Peter R., et al.. (2004). A refinement of an inequality from information theory.. Journal of Inequalities in Pure & Applied Mathematics. 5(1). 4 indexed citations
10.
Mercer, Peter R.. (2003). 87.69 On a precursor to Stirling’s formula. The Mathematical Gazette. 87(510). 530–532. 2 indexed citations
11.
Mercer, Peter R.. (2003). On the Monotonicity of ${(1 + {1\over n})}^n$ and ${(1 + {1\over n})}^{n+1}$. College Mathematics Journal. 34(3). 236–236.
12.
Mercer, Peter R.. (2003). Refined Arithmetic, Geometric and Harmonic Mean Inequalities. Rocky Mountain Journal of Mathematics. 33(4). 13 indexed citations
13.
Mercer, Peter R.. (2001). Type, fixed point iteration, and mean value theorems. International Journal of Mathematical Education in Science and Technology. 32(2). 308–312.
14.
Mercer, Peter R.. (2000). Another look at Julia's Lemma. Complex Variables Theory and Application An International Journal. 43(2). 129–138. 2 indexed citations
15.
Mercer, Peter R.. (2000). Extensions of Steffensen's Inequality. Journal of Mathematical Analysis and Applications. 246(1). 325–329. 16 indexed citations
16.
Mercer, Peter R.. (1999). On a Strengthened Schwarz–Pick Inequality. Journal of Mathematical Analysis and Applications. 234(2). 735–739. 3 indexed citations
17.
Mercer, Peter R.. (1999). The notion of type, as regards certain geometric limits. International Journal of Mathematical Education in Science and Technology. 30(1). 146–148. 1 indexed citations
18.
Mercer, Peter R.. (1997). Sharpened Versions of the Schwarz Lemma. Journal of Mathematical Analysis and Applications. 205(2). 508–511. 21 indexed citations
19.
MacCluer, Barbara D. & Peter R. Mercer. (1995). Composition Operators Between Hardy and Weighted Bergman Spaces on Convex Domains in C n. Proceedings of the American Mathematical Society. 123(7). 2093–2093. 5 indexed citations
20.
Mercer, Peter R.. (1993). A General Hopf Lemma and Proper Holomorphic Mappings between Convex Domains in ℂ n. Proceedings of the American Mathematical Society. 119(2). 573–573. 1 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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